Question 4 5 pts Consider two uniformly charged spheres. You don\'t know the tot

Question

Question 4 5 pts Consider two uniformly charged spheres. You don't know the total charge on the spheres, but you know that the charge Q1 on the first sphere of radius R1 = 0.23 m and the charge Q2 on the second sphere of radius R2 = 0.53 m are related: Q1-1/4 Q2 If the distance between the charges is d 2.06 m and the force one sphere exerts on the other is F-6.16x10-3 N, what is the total charge on the spheres, Q1 Q2? Again assume the spheres are uniformly charged Give your answer in C (micro-Coulombs) to at least three significant figures.°

Explanation / Answer

here,

Q1 = Q2 /4

R1 = 0.23 m , R2 = 0.53 m

d = 2.06 m

the force between the charges , F = K * Q1 * Q2 /(R1 + R2 + d)^2

6.16 * 10^-3 = 9 * 10^9 * (Q2 /4) * (Q2) /( 0.23 + 0.53 + 2.06)^2

solving for Q2

Q2 = 2.77 * 10^-6 C = 2.77 uC

the total charge on the spheres , Q = Q1 + Q2

Q = Q1 + Q2

Q = (5/4) * Q2

Q = ( 5/4) * 2.77 uC

Q = 3.46 uC

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