{"id":251138,"date":"2022-09-10T10:36:49","date_gmt":"2022-09-10T05:06:49","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/question\/in-figure-two-equal-positive-point-charges-q1-q2-2-0-%ce%bcc-interact-with-a-third-point-charge-q-4-0-%ce%bcc-the-magnitude-as-well-as-direction-of-the-net-force-on-q-is\/"},"modified":"2022-09-10T10:36:49","modified_gmt":"2022-09-10T05:06:49","slug":"in-figure-two-equal-positive-point-charges-q1-q2-2-0-%ce%bcc-interact-with-a-third-point-charge-q-4-0-%ce%bcc-the-magnitude-as-well-as-direction-of-the-net-force-on-q-is","status":"publish","type":"questions","link":"https:\/\/infinitylearn.com\/surge\/question\/physics\/in-figure-two-equal-positive-point-charges-q1--q2--20c\/","title":{"rendered":"In figure, two equal positive point charges q1 = q2 = 2.0\u00a0\u03bcC interact with a third point charge Q = 4.0\u00a0\u03bcC. The magnitude, as well as direction, of the net force on Q is"},"content":{"rendered":"","protected":false},"author":1,"template":"","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"In figure, two equal positive point charges q1 = q2 = 2.0\u00a0\u03bcC interact with a third point charge Q = 4.0\u00a0\u03bcC. The magnitude, as well as direction, of the net force on Q is","custom_permalink":"question\/physics\/in-figure-two-equal-positive-point-charges-q1--q2--20c\/"},"categories":[],"acf":{"question":"

In figure, two equal positive point charges q1<\/sub> = q2<\/sub> = 2.0 \u03bc<\/mi><\/math>C interact with a third point charge Q = 4.0 \u03bc<\/mi><\/math>C. The magnitude, as well as direction, of the net force on Q is<\/p>
<\/figure>","options":[{"option":"

0.23 N in the +x-direction<\/p>","correct":false},{"option":"

0.46 N in the +x-direction<\/p>","correct":true},{"option":"

0.23 N in the -x-direction<\/p>","correct":false},{"option":"

0.46 N in the -x-direction<\/p>","correct":false}],"solution":"

F<\/mi>net <\/mtext><\/msub>=<\/mo>2<\/mn>F<\/mi>31<\/mn><\/msub><\/mfenced>cos<\/mi>\u2061<\/mo>\u03b1<\/mi><\/mtd><\/mtr> <\/mspace>=<\/mo>2<\/mn>\u00d7<\/mo>1<\/mn>4<\/mn>\u03c0<\/mi>\u03b5<\/mi>0<\/mn><\/msub><\/mrow><\/mfrac>\u00d7<\/mo>2<\/mn>\u00d7<\/mo>4<\/mn>\u00d7<\/mo>10<\/mn>\u2212<\/mo>12<\/mn><\/mrow><\/msup><\/mrow>(<\/mo>0.5<\/mn>)<\/mo>2<\/mn><\/msup><\/mrow><\/mfrac>\u00d7<\/mo>4<\/mn>5<\/mn><\/mfrac>=<\/mo>0.46<\/mn>N<\/mi><\/mtd><\/mtr><\/mtable><\/math><\/p>
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