{"id":251905,"date":"2022-09-10T10:46:00","date_gmt":"2022-09-10T05:16:00","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/question\/equal-charges-q-are-placed-at-the-vertices-a-and-b-of-an-equilateral-triangle-abc-of-side-a-the-magnitude-of-electric-field-at-the-point-c-is\/"},"modified":"2022-09-10T10:46:00","modified_gmt":"2022-09-10T05:16:00","slug":"equal-charges-q-are-placed-at-the-vertices-a-and-b-of-an-equilateral-triangle-abc-of-side-a-the-magnitude-of-electric-field-at-the-point-c-is","status":"publish","type":"questions","link":"https:\/\/infinitylearn.com\/surge\/question\/physics\/equal-charges-q-are-placed-at-the-vertices-a-and-b-of-an-equ\/","title":{"rendered":"Equal charges q are placed at the vertices A and B of an equilateral triangle ABC of side a. The magnitude of electric field at the point C is"},"content":{"rendered":"","protected":false},"author":1,"template":"","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Equal charges q are placed at the vertices A and B of an equilateral triangle ABC of side a. The magnitude of electric field at the point C is","custom_permalink":"question\/physics\/equal-charges-q-are-placed-at-the-vertices-a-and-b-of-an-equ\/"},"categories":[],"acf":{"question":"

Equal charges q are placed at the vertices A and B of an equilateral triangle ABC of side a. The magnitude of electric field at the point C is<\/p>","options":[{"option":"

q<\/mi>4<\/mn>\u03c0\u03b5<\/mi>0<\/mn><\/msub>a<\/mi>2<\/mn><\/msup><\/mrow><\/mfrac><\/math><\/p>","correct":false},{"option":"

2<\/mn><\/msqrt>q<\/mi><\/mrow>4<\/mn>\u03c0\u03b5<\/mi>0<\/mn><\/msub>a<\/mi>2<\/mn><\/msup><\/mrow><\/mfrac><\/math><\/p>","correct":false},{"option":"

3<\/mn><\/msqrt>q<\/mi><\/mrow>4<\/mn>\u03c0\u03b5<\/mi>0<\/mn><\/msub>a<\/mi>2<\/mn><\/msup><\/mrow><\/mfrac><\/math><\/p>","correct":true},{"option":"

q<\/mi>2<\/mn>\u03c0\u03b5<\/mi>0<\/mn><\/msub>a<\/mi>2<\/mn><\/msup><\/mrow><\/mfrac><\/math><\/p>","correct":false}],"solution":"

E<\/mi>A<\/mi><\/msub><\/mfenced>=<\/mo>E<\/mi>B<\/mi><\/msub><\/mfenced>=<\/mo>k<\/mi>\u22c5<\/mo>q<\/mi>a<\/mi>2<\/mn><\/msup><\/mfrac><\/math><\/p>
<\/figure>

 So, <\/mtext>E<\/mi>net <\/mtext><\/msub>=<\/mo>E<\/mi>A<\/mi>2<\/mn><\/msubsup>+<\/mo>E<\/mi>B<\/mi>2<\/mn><\/msubsup>+<\/mo>2<\/mn>E<\/mi>A<\/mi><\/msub>E<\/mi>B<\/mi><\/msub>cos<\/mi>\u2061<\/mo>60<\/mn>\u2218<\/mo><\/msup><\/msqrt> <\/mspace>=<\/mo>3<\/mn><\/msqrt>k<\/mi>\u22c5<\/mo>q<\/mi><\/mrow>a<\/mi>2<\/mn><\/msup><\/mfrac> <\/mspace>\u21d2<\/mo>E<\/mi>net<\/mi><\/msub>=<\/mo>3<\/mn><\/msqrt>q<\/mi><\/mrow>4<\/mn>\u03c0\u03b5<\/mi>0<\/mn><\/msub>a<\/mi>2<\/mn><\/msup><\/mrow><\/mfrac><\/math><\/p>","subject":""},"yoast_head":"\nEqual charges q are placed at the vertices A and B of an equilateral triangle ABC of side a. The magnitude of electric field at the point C is - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"description\" content=\"Equal charges q are placed at the vertices A and B of an equilateral triangle ABC of side a. 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