The series combination of two batteries, both of the same emf 10 V , but different internal resistance of 20   Ω and 5   Ω , is connected to the parallel combination of two resistors 30   Ω and x  Ω . The voltage difference across the battery of internal…

Question

The series combination of two batteries, both of the same emf 10 V , but different internal resistance of 20 &#8201; &#937; and 5 &#8201; &#937; , is connected to the parallel combination of two resistors 30 &#8201; &#937; and x&#8201; &#937; . The voltage difference across the battery of internal resistance 20 &#8201; &#937; is zero, the value of x (in &#937; ) is____

Aicharya · Accepted Answer

V 1 = &#1013; 1 - i . r 1 0 = 10 - i &#215; 20 i = 0.5 A V 2 = 7.5 30 + 7.5 x 0.5 = 0.25 + 7.5 x 7.5 x = 0.25 x = 7.5 0.25 = 30 &#160; &#937;

The series combination of two batteries, both of the same emf 10 V , but different internal resistance of 20…

Solution