MHT CET202311 May 2023Evening ShiftPhysicsCurrent ElectricityActual
Two batteries, one of e.m.f. 12 ~V and internal resistance 2 and other of e.m.f. 6 ~V and internal resistance 1 , are connected as shown in the figure. What will be the reading of the voltmeter 'V'?
Options
- A12 ~V
- B8 ~V
- C6 ~V
- D4 ~V
Correct answer
B. 8 ~V
Step-by-step solution
The formula for the equivalent emf of the parallel combination of batteries is _e=r_ eq ( e₁ r₁ + c₂ r₂ ) Here, r_ rq is the equivalent resistance aligned & 1 r_ eq = 1 r₁ + 1 r₂ & 1 r_ 84 = 1 2 + 1 1 & 1 r_ eq = 3 2 aligned Substituting the values aligned _e & =r_ ( e₁ r₁ + e₂ r₂ ) _ e & = 2 3 ( 12 2 + 6 1 ) _e & = 2 3 12 _e & =8 ~V aligned