This will be a 50 minute, closed book test. Show your work and provide units whe

Question

This will be a 50 minute, closed book test. Show your work and provide units when necessary. You may use a calculator which doesn't have web/messaging capabilities. Please print your name: Two charges are separated by a distance of 2 m, with Q_1 having a charge of +1 mu C. The electric field produced by the two charges is found to be zero at point A, a distance of 0.5 m from Q_1 along the line joining the two charges. What is Q_2? Sketch at least 8 electric field lines generated by these charges

Explanation / Answer

field due to Q1 at A,

E1 = k Q1 / A^2 = (9 x 10^9 ) (1 x 10^-6) / 0.5^2

E1 = 36000 N/C to the right

so field due to Q2 will be 36000 N/C to the left.

36000 = (9 x 10^9) (Q2) / (2 - 0.5)^2

Q2 = 9 x 10^-6 C .........Ans

(B) V = k Q1 / 1 + k Q2 / 1

= (9 x 10^9) (9 + 1) x 10^-6

= 90000 Volt

  

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