{"id":246755,"date":"2022-09-10T09:10:18","date_gmt":"2022-09-10T03:40:18","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/question\/two-equal-point-charges-of-1-%c2%b5c-each-are-located-at-points-ijk-m-and-2i3j-k-m-what-is-the-magnitude-of-electrostatic-force-between-them\/"},"modified":"2025-06-26T17:47:25","modified_gmt":"2025-06-26T12:17:25","slug":"two-equal-point-charges-of-1-%c2%b5c-each-are-located-at-points-ijk-m-and-2i3j-k-m-what-is-the-magnitude-of-electrostatic-force-between-them","status":"publish","type":"questions","link":"https:\/\/infinitylearn.com\/surge\/question\/physics\/two-equal-point-charges-of-1-c-each-are-located-at-points\/","title":{"rendered":"Two equal point charges of 1 \u00b5C each are located at points (i^+j^+k^) m and (2i^+3j^-k^\u00a0) m. What is the magnitude of electrostatic force between them?"},"content":{"rendered":"","protected":false},"author":1,"template":"","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Two equal point charges of 1 \u00b5C each are located at points (i^+j^+k^) m and (2i^+3j^-k^\u00a0) m. What is the magnitude of electrostatic force between them?","custom_permalink":"question\/physics\/two-equal-point-charges-of-1-c-each-are-located-at-points\/"},"categories":[],"acf":{"question":"

Two equal point charges of 1 \u00b5C each are located at points (i<\/mi>^<\/mo><\/mover>+<\/mo>j<\/mi>^<\/mo><\/mover>+<\/mo>k<\/mi>^<\/mo><\/mover><\/math>) m and (2<\/mn>i<\/mi>^<\/mo><\/mover>+<\/mo>3<\/mn>j<\/mi>^<\/mo><\/mover>-<\/mo>k<\/mi>^<\/mo><\/mover><\/math> ) m. What is the magnitude of electrostatic force between them?<\/p>","options":[{"option":"

10-3<\/sup> N<\/p>","correct":true},{"option":"

10-6<\/sup> N<\/p>","correct":false},{"option":"

10-9<\/sup> N<\/p>","correct":false},{"option":"

10-12<\/sup> N<\/p>","correct":false}],"solution":"

r<\/mi>=<\/mo>(<\/mo> <\/mo>2<\/mn>i<\/mi>^<\/mo><\/mover>+<\/mo>3<\/mn>j<\/mi>^<\/mo><\/mover>+<\/mo>k<\/mi>^<\/mo><\/mover>)<\/mo> <\/mo>-<\/mo> <\/mo>(<\/mo> <\/mo>i<\/mi>^<\/mo><\/mover> <\/mo>+<\/mo> <\/mo>j<\/mi>^<\/mo><\/mover> <\/mo>-<\/mo>k<\/mi>^<\/mo><\/mover>)<\/mo> <\/mo>m<\/mi>=<\/mo>(<\/mo>i<\/mi>^<\/mo><\/mover>+<\/mo>2<\/mn>j<\/mi>^<\/mo><\/mover>+<\/mo>2<\/mn>k<\/mi>^<\/mo><\/mover>)<\/mo>m<\/mi><\/math><\/p>

The magnitude of r is<\/p>

r<\/mi>=<\/mo>1<\/mn>2<\/mn><\/msup>+<\/mo>2<\/mn>2<\/mn><\/msup>+<\/mo>2<\/mn>2<\/mn><\/msup><\/msqrt>=<\/mo>1<\/mn>+<\/mo>4<\/mn>+<\/mo>4<\/mn><\/msqrt>=<\/mo>3<\/mn> <\/mo>m<\/mi><\/math><\/p>

\u2234<\/mo> <\/mo> <\/mo> <\/mo>F<\/mi>=<\/mo>1<\/mn>4<\/mn>\u03c0\u03b5<\/mi>0<\/mn><\/msub><\/mrow><\/mfrac>.<\/mo>q<\/mi>1<\/mn><\/msub>q<\/mi>2<\/mn><\/msub><\/mrow>r<\/mi>2<\/mn><\/msup><\/mfrac> <\/mspace> <\/mo> <\/mo> <\/mo> <\/mo> <\/mo> <\/mo> <\/mo> <\/mo>=<\/mo>9<\/mn>\u00d7<\/mo>10<\/mn>9<\/mn><\/msup>\u00d7<\/mo>10<\/mn>-<\/mo>6<\/mn><\/mrow><\/msup>\u00d7<\/mo>10<\/mn>-<\/mo>6<\/mn><\/mrow><\/msup><\/mrow>3<\/mn><\/mfenced>2<\/mn><\/msup><\/mfrac>=<\/mo>10<\/mn>-<\/mo>3<\/mn><\/mrow><\/msup> <\/mo>N<\/mi><\/math><\/p>\r\n","subject":""},"yoast_head":"\nTwo equal point charges of 1 \u00b5C each are located at points (i^+j^+k^) m and (2i^+3j^-k^\u00a0) m. What is the magnitude of electrostatic force between them? - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"description\" content=\"Two equal point charges of 1 \u00b5C each are located at points (i^+j^+k^) m and (2i^+3j^-k^\u00a0) m. 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