lomework 3 Begin Date: 21/2018 12:01:00 AM -Due Date: 29/2018 1:59:00 PM End Dat

Question

lomework 3 Begin Date: 21/2018 12:01:00 AM -Due Date: 29/2018 1:59:00 PM End Date: 29/2018 11590PM (20%) Problem 2: Two point charges totaling 8.5 C exert a repulsive force of 0.065 N on each other when separated by 8.45 m Randomized Variables F = 0.065 N r= 0.45 m 25% Part (a) What is the charge on the larger of the two charges? Grade Summa Deductions Potential cos0 sinO cotan) asin tan acotan)sinh0 Submissions Attempts remai (4% per attemp detailed view cosh0 tanhO cotanhO be Degrees O Radians SubemitockIgihe up Submit Feedback: 10 deduction per feedback. Hints: _ deduction per hint. Hints remaining:- 25%, Part (c) what is the charge on the larger charge (in magntude) if the force is attractive? 25% Part (d) what is the charge on the smaller charge (in magnitude) if the force is attractive? 25% Part (b) What is the charge on the smaller of the two charges?

Explanation / Answer

Here , let the charges are q1 and q2

a) Now, as q1 + q2 = 8.5 *10^-6

for the force

0.065 = 9 *10^9 * q1 * q2/(0.45)^2

solving for q1 and q2

q1 = 1.76 *10^-7 = 0.176 uC

q2 = 8.32 *10^-6 C = 8.32 uC

the larger charge is 8.32 *10^-6 C or 8.32 uC

b) the smnaller charge is 1.76 *10^-7 or 0.176 uC

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c) if the force is attrative

-0.065 = 9 *10^9 * q1 * q2/(0.45)^2

solving for q1 and q2

q1 = -1.69 *10^-7 C

q2 = 8.66 *10^-6 C

the larger charge is 8.66 *10^-6 C or 8.66 uC

d)the smaller charge is 1.69 *10^-7 C or 0.17 uC

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