Question

Five resistors of different resistances are connected together as shown in the figure. A 12V battery is connected to the arrangement. Calculate : 

1. the total resistance in the circuit.

2. the total current flowing in the circuit.

Answer 1

To solve the above Question, we have to first find the total resistance of the circuit. 

Here we find that R₁ and R₂ are in parallel and their combined resistance R’ is given by R’= 10 × 40/10+40 = 8Ω 

Also, the resistances of 30Ω, 20Ω and 60Ω are in parallel and their combined resistance R” is given by 

1/R” = 1/30 + 1/20 + 1/60 = 2 + 3 + 1/60 = 6/60

R” = 60/6 = 10Ω 

Now, R’ and R” are in series and their combined resistance R is given by. 

R = R’ + R” = 8Ω + 10Ω = 18Ω 

.’. Total resistance in the circuit = 18Ω