{"id":266431,"date":"2022-09-10T13:37:31","date_gmt":"2022-09-10T08:07:31","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/question\/the-magnetic-force-acting-on-a-charged-particle-of-charge-%e2%88%922%e2%80%89%e2%80%89%ce%bcc-in-a-magnetic-field-of-2-t-acting-in-y-direction-when-the-particle-velocity-is-2i\/"},"modified":"2022-09-10T13:37:31","modified_gmt":"2022-09-10T08:07:31","slug":"the-magnetic-force-acting-on-a-charged-particle-of-charge-%e2%88%922%e2%80%89%e2%80%89%ce%bcc-in-a-magnetic-field-of-2-t-acting-in-y-direction-when-the-particle-velocity-is-2i","status":"publish","type":"questions","link":"https:\/\/infinitylearn.com\/surge\/question\/physics\/the-magnetic-force-acting-on-a-charged-particle-of-charge2\/","title":{"rendered":"The magnetic force acting on a charged particle of charge\u00a0\u22122\u2009\u2009\u03bcC\u00a0in a magnetic field of 2 T acting in y direction, when the particle velocity is\u00a02i^\u2009\u2009+\u2009\u20093j^\u2009\u00d7\u2009\u2009106\u2009\u2009ms\u22121,\u00a0is"},"content":{"rendered":"","protected":false},"author":1,"template":"","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"The magnetic force acting on a charged particle of charge\u00a0\u22122\u2009\u2009\u03bcC\u00a0in a magnetic field of 2 T acting in y direction, when the particle velocity is\u00a02i^\u2009\u2009+\u2009\u20093j^\u2009\u00d7\u2009\u2009106\u2009\u2009ms\u22121,\u00a0is","custom_permalink":"question\/physics\/the-magnetic-force-acting-on-a-charged-particle-of-charge2\/"},"categories":[],"acf":{"question":"<p>The magnetic force acting on a charged particle of charge&nbsp;<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mo>\u2212<\/mo><mn>2<\/mn><mtext>\u2009\u2009<\/mtext><mi>\u03bcC<\/mi><\/math>&nbsp;in a magnetic field of 2 T acting in y direction, when the particle velocity is&nbsp;<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mfenced><mrow><mn>2<\/mn><mover accent=\"true\"><mi mathvariant=\"normal\">i<\/mi><mo>^<\/mo><\/mover><mtext>\u2009\u2009<\/mtext><mo>+<\/mo><mtext>\u2009\u2009<\/mtext><mn>3<\/mn><mover accent=\"true\"><mi mathvariant=\"normal\">j<\/mi><mo>^<\/mo><\/mover><\/mrow><\/mfenced><mtext>\u2009<\/mtext><mo>\u00d7<\/mo><mtext>\u2009\u2009<\/mtext><msup><mn>10<\/mn><mn>6<\/mn><\/msup><mtext>\u2009\u2009<\/mtext><msup><mi>ms<\/mi><mrow><mo>\u2212<\/mo><mn>1<\/mn><\/mrow><\/msup><mo>,<\/mo><\/math>&nbsp;is<\/p>","options":[{"option":"<p>8 N in -z direction<\/p>","correct":true},{"option":"<p>4 N in z direction<\/p>","correct":false},{"option":"<p>8 N in y direction<\/p>","correct":false},{"option":"<p>8 N in z direction<\/p>","correct":false}],"solution":"<p>When a charge q moves with velocity&nbsp;<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mover accent=\"true\"><mi>v<\/mi><mo>\u2192<\/mo><\/mover><\/math>&nbsp;inside magnetic field of strength&nbsp;<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mover accent=\"true\"><mi>B<\/mi><mo>\u2192<\/mo><\/mover><\/math>, then force on charge is called magnetic Lorentz force. The magnetic Lorentz force is in the direction of vector&nbsp;<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mover accent=\"true\"><mi mathvariant=\"normal\">V<\/mi><mo>\u2192<\/mo><\/mover><mtext>\u2009<\/mtext><mo>\u00d7<\/mo><mtext>\u2009<\/mtext><mover accent=\"true\"><mi mathvariant=\"normal\">B<\/mi><mo>\u2192<\/mo><\/mover><\/math>.<\/p><p>Magnetic Lorentz force&nbsp;<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mover accent=\"true\"><mi mathvariant=\"normal\">F<\/mi><mo>\u2192<\/mo><\/mover><mtext>\u2009<\/mtext><mo>=<\/mo><mtext>\u2009\u2009<\/mtext><mover accent=\"true\"><mi mathvariant=\"normal\">q<\/mi><mo>\u2192<\/mo><\/mover><mtext>\u2009<\/mtext><mfenced><mrow><mover accent=\"true\"><mi mathvariant=\"normal\">V<\/mi><mo>\u2192<\/mo><\/mover><mtext>\u2009<\/mtext><mo>\u00d7<\/mo><mtext>\u2009<\/mtext><mover accent=\"true\"><mi mathvariant=\"normal\">B<\/mi><mo>\u2192<\/mo><\/mover><\/mrow><\/mfenced><\/math><\/p><p><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mo>=<\/mo><mo>\u2212<\/mo><mtext>\u2009<\/mtext><mn>2<\/mn><mtext>\u2009<\/mtext><mo>\u00d7<\/mo><mtext>\u2009\u2009<\/mtext><msup><mn>10<\/mn><mrow><mo>\u2212<\/mo><mn>6<\/mn><\/mrow><\/msup><mtext>\u2009\u2009<\/mtext><mfenced close=\"]\" open=\"[\"><mrow><mn>2<\/mn><mtext>\u2009\u2009<\/mtext><mo>\u00d7<\/mo><mtext>\u2009<\/mtext><mn>2<\/mn><mtext>\u2009<\/mtext><mo>\u00d7<\/mo><mtext>\u2009<\/mtext><msup><mn>10<\/mn><mn>6<\/mn><\/msup><\/mrow><\/mfenced><\/math>&nbsp;<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mover><mi>k<\/mi><mo>^<\/mo><\/mover><\/math><\/p><p>= 8 N along negative z-axis<\/p>","subject":""},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>The magnetic force acting on a charged particle of charge\u00a0\u22122\u2009\u2009\u03bcC\u00a0in a magnetic field of 2 T acting in y direction, when the particle velocity is\u00a02i^\u2009\u2009+\u2009\u20093j^\u2009\u00d7\u2009\u2009106\u2009\u2009ms\u22121,\u00a0is - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"description\" content=\"The magnetic force acting on a charged particle of charge\u00a0\u22122\u2009\u2009\u03bcC\u00a0in a magnetic field of 2 T acting in y direction, when the particle velocity is\u00a02i^\u2009\u2009+\u2009\u20093j^\u2009\u00d7\u2009\u2009106\u2009\u2009ms\u22121,\u00a0is\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/infinitylearn.com\/surge\/question\/physics\/the-magnetic-force-acting-on-a-charged-particle-of-charge2\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"The magnetic force acting on a charged particle of charge\u00a0\u22122\u2009\u2009\u03bcC\u00a0in a magnetic field of 2 T acting in y direction, when the particle velocity is\u00a02i^\u2009\u2009+\u2009\u20093j^\u2009\u00d7\u2009\u2009106\u2009\u2009ms\u22121,\u00a0is - Infinity Learn by Sri Chaitanya\" \/>\n<meta property=\"og:description\" content=\"The magnetic force acting on a charged particle of charge\u00a0\u22122\u2009\u2009\u03bcC\u00a0in a magnetic field of 2 T acting in y direction, when the particle velocity is\u00a02i^\u2009\u2009+\u2009\u20093j^\u2009\u00d7\u2009\u2009106\u2009\u2009ms\u22121,\u00a0is\" \/>\n<meta property=\"og:url\" content=\"https:\/\/infinitylearn.com\/surge\/question\/physics\/the-magnetic-force-acting-on-a-charged-particle-of-charge2\/\" \/>\n<meta property=\"og:site_name\" content=\"Infinity Learn by Sri Chaitanya\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/InfinityLearn.SriChaitanya\/\" \/>\n<meta property=\"og:image\" content=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2025\/04\/infinitylearn.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"1920\" \/>\n\t<meta property=\"og:image:height\" content=\"1008\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:site\" content=\"@InfinityLearn_\" \/>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"The magnetic force acting on a charged particle of charge\u00a0\u22122\u2009\u2009\u03bcC\u00a0in a magnetic field of 2 T acting in y direction, when the particle velocity is\u00a02i^\u2009\u2009+\u2009\u20093j^\u2009\u00d7\u2009\u2009106\u2009\u2009ms\u22121,\u00a0is - Infinity Learn by Sri Chaitanya","description":"The magnetic force acting on a charged particle of charge\u00a0\u22122\u2009\u2009\u03bcC\u00a0in a magnetic field of 2 T acting in y direction, when the particle velocity is\u00a02i^\u2009\u2009+\u2009\u20093j^\u2009\u00d7\u2009\u2009106\u2009\u2009ms\u22121,\u00a0is","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/infinitylearn.com\/surge\/question\/physics\/the-magnetic-force-acting-on-a-charged-particle-of-charge2\/","og_locale":"en_US","og_type":"article","og_title":"The magnetic force acting on a charged particle of charge\u00a0\u22122\u2009\u2009\u03bcC\u00a0in a magnetic field of 2 T acting in y direction, when the particle velocity is\u00a02i^\u2009\u2009+\u2009\u20093j^\u2009\u00d7\u2009\u2009106\u2009\u2009ms\u22121,\u00a0is - Infinity Learn by Sri Chaitanya","og_description":"The magnetic force acting on a charged particle of charge\u00a0\u22122\u2009\u2009\u03bcC\u00a0in a magnetic field of 2 T acting in y direction, when the particle velocity is\u00a02i^\u2009\u2009+\u2009\u20093j^\u2009\u00d7\u2009\u2009106\u2009\u2009ms\u22121,\u00a0is","og_url":"https:\/\/infinitylearn.com\/surge\/question\/physics\/the-magnetic-force-acting-on-a-charged-particle-of-charge2\/","og_site_name":"Infinity Learn by Sri Chaitanya","article_publisher":"https:\/\/www.facebook.com\/InfinityLearn.SriChaitanya\/","og_image":[{"width":1920,"height":1008,"url":"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2025\/04\/infinitylearn.jpg","type":"image\/jpeg"}],"twitter_card":"summary_large_image","twitter_site":"@InfinityLearn_","schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Organization","@id":"https:\/\/infinitylearn.com\/surge\/#organization","name":"Infinity Learn","url":"https:\/\/infinitylearn.com\/surge\/","sameAs":["https:\/\/www.facebook.com\/InfinityLearn.SriChaitanya\/","https:\/\/www.instagram.com\/infinitylearn_by_srichaitanya\/","https:\/\/www.linkedin.com\/company\/infinity-learn-by-sri-chaitanya\/","https:\/\/www.youtube.com\/c\/InfinityLearnEdu","https:\/\/twitter.com\/InfinityLearn_"],"logo":{"@type":"ImageObject","@id":"https:\/\/infinitylearn.com\/surge\/#logo","inLanguage":"en-US","url":"","contentUrl":"","caption":"Infinity Learn"},"image":{"@id":"https:\/\/infinitylearn.com\/surge\/#logo"}},{"@type":"WebSite","@id":"https:\/\/infinitylearn.com\/surge\/#website","url":"https:\/\/infinitylearn.com\/surge\/","name":"Infinity Learn by Sri Chaitanya","description":"Surge","publisher":{"@id":"https:\/\/infinitylearn.com\/surge\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/infinitylearn.com\/surge\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"WebPage","@id":"https:\/\/infinitylearn.com\/surge\/question\/physics\/the-magnetic-force-acting-on-a-charged-particle-of-charge2\/#webpage","url":"https:\/\/infinitylearn.com\/surge\/question\/physics\/the-magnetic-force-acting-on-a-charged-particle-of-charge2\/","name":"The magnetic force acting on a charged particle of charge\u00a0\u22122\u2009\u2009\u03bcC\u00a0in a magnetic field of 2 T acting in y direction, when the particle velocity is\u00a02i^\u2009\u2009+\u2009\u20093j^\u2009\u00d7\u2009\u2009106\u2009\u2009ms\u22121,\u00a0is - Infinity Learn by Sri Chaitanya","isPartOf":{"@id":"https:\/\/infinitylearn.com\/surge\/#website"},"datePublished":"2022-09-10T08:07:31+00:00","dateModified":"2022-09-10T08:07:31+00:00","description":"The magnetic force acting on a charged particle of charge\u00a0\u22122\u2009\u2009\u03bcC\u00a0in a magnetic field of 2 T acting in y direction, when the particle velocity is\u00a02i^\u2009\u2009+\u2009\u20093j^\u2009\u00d7\u2009\u2009106\u2009\u2009ms\u22121,\u00a0is","breadcrumb":{"@id":"https:\/\/infinitylearn.com\/surge\/question\/physics\/the-magnetic-force-acting-on-a-charged-particle-of-charge2\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/infinitylearn.com\/surge\/question\/physics\/the-magnetic-force-acting-on-a-charged-particle-of-charge2\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/infinitylearn.com\/surge\/question\/physics\/the-magnetic-force-acting-on-a-charged-particle-of-charge2\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/infinitylearn.com\/surge\/"},{"@type":"ListItem","position":2,"name":"The magnetic force acting on a charged particle of charge\u00a0\u22122\u2009\u2009\u03bcC\u00a0in a magnetic field of 2 T acting in y direction, when the particle velocity is\u00a02i^\u2009\u2009+\u2009\u20093j^\u2009\u00d7\u2009\u2009106\u2009\u2009ms\u22121,\u00a0is"}]}]}},"_links":{"self":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/questions\/266431"}],"collection":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/questions"}],"about":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/types\/questions"}],"author":[{"embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/users\/1"}],"wp:attachment":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/media?parent=266431"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/categories?post=266431"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}