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Each resistor in the following circuit has a resistance of 2M\Omega and the capacitors have capacitances of 1mF. The battery voltage is 3V. The voltage across the resistor ‘A’ in the following circuit in steady state is :

                                   

Option: 1

0 V


Option: 2

0.5 V


Option: 3

0.75 V


Option: 4

1.5 V


Answers (1)

This is a DC circuit because the battery is the only source of voltage. Hence the capacitors behave like open circuits. An equivalent circuit is then two parallel sets of two identical series resistors, see figure. The voltage drop across each parallel branch must be the battery voltage of 3V. Since the resistors are identical there is an equal voltage drop of 1.5V across each resistor. In particular there is a drop of 1.5 V across resistor A.  

                                     

Posted by

Ramraj Saini

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