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14. A charge of -3.00C is fixed at the center of acompass. Two additional charge

ID: 1669247 • Letter: 1

Question

14. A charge of -3.00C is fixed at the center of acompass. Two additional charges are fixed on the circle of thecompus (radius = 0.100 m). The charges on the circle are-4.00C at the position due north and +5.00C at thepostion due east. What is the magnitude and direction of the netelectrostatic force acting on the charge at the center? Specify thedirection relative due east. 14. A charge of -3.00C is fixed at the center of acompass. Two additional charges are fixed on the circle of thecompus (radius = 0.100 m). The charges on the circle are-4.00C at the position due north and +5.00C at thepostion due east. What is the magnitude and direction of the netelectrostatic force acting on the charge at the center? Specify thedirection relative due east.

Explanation / Answer

the distance between the charges that are on the compass and at thecenter=0.1m the force=9*109q1q2/r*r so the force due to the charge kept duenorth=F1=9*109*12*10-12/0.1*0.1 N towards thecharge at the center ie towards south the force due to the charge kept dueeast=F2=9*109*15*10-12/0.1*0.1 N awayfrom the charge at the center ie towards east. F1 and F2 are at right angles . hence the resultant= F1*F1+F2*F2 N direction tan=F1/F2 degree relative to east. solving we will get the answer.

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