Q. 74.2( 37 Votes )

Resistances and are connected as shown in the figure. S1 and S2 are two keys. Discuss the current flowing in the circuit in the following cases.



A. Both and are closed.

B. Both and are open.

C. is closed but is open

Answer :


A. When both S1 and S2 are closed, R4 is short circuited.


R3 and (R1||R2) are in series


Effective resistance of the circuit Reffective =



Let the applied voltage be V.


Current in the circuit



B. When both S1 and S2 are open, R3 , R1 and R4 are in series.


The effective resistance of the circuit,


Reffective = R3 + R1 + R4


Let the applied voltage be V.


Current in the circuit I = V/Reffective



C. When S1 is closedbut S2 is open, R3, (R1||R2) and R4 are in series.


As S1 is closed, R1 and R2 are parallel to each other.


The effective resistance of the circuit is


Reffective = R3 + (R1||R2) + R4 ( When R1||R2 )


=


Let the applied voltage be V


Current in the circuit I = V/Reffective


I =


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