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Electrostatic Potential And Capacitance

Question
CBSEENPH12039459

A combination of capacitors is set up as shown in the figure. The magnitude of the electric field, due to a point charge Q (having a charge equal to the sum of the charges on the 4 µF and 9 µF capacitors), at a point distant 30 m from it, would equal:


  • 240N/C

  • 360N/C

  • 420N/C

  • 480N/C

Solution

C.

420N/C

Resultant circuit,

As, charge on 3μF = 3μF x 8V = 24μC
Charge on 3μF = 3μF x 2V = 18 μC
charge on 4μF +Charge on 9μF
= (24 + 18)μC = 42μC
therefore,
Electric field at a point distant 30 m
fraction numerator 9 space straight x space 10 cubed straight x space 42 space straight x space 10 to the power of negative 6 end exponent over denominator 30 space straight x space 30 end fraction space equals space 420 space straight N divided by straight C

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