Question

In the circuit shown in the figure the resistance R1 and R2 are respectively

A) 14 ohm and 40 ohm
B) 40 ohm and 14 ohm
C) 40 ohm and 30 ohm
D) 14 ohm and 30 ohm

Answer 1

Explanation:

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Answer 2

The correct answer is option (a) 14 ohm and 40 ohm.

Given,

A figure having a combination of resistance.

To Find,

The value of R1 and R2.

Solution,

The current through resistance 20 Ω = 1 A

The current through R2 = 0.5 A.

So, the voltage drop across the three parallel-connected resistance will be the same.

Therefore, across resistance 20Ω, the voltage drop is

V = IR = 1*20 = 20 V

Voltage drop across R2 = 20/0.5 = 40 Ω

Also, current across 10 Ω = 20/10 = 2 A.

So, the remaining voltage drop will be across R1 which is 49 V.

Therefore, the current across the parallel combination will be the same as the current across R1.

Total current across parallel combination = I = 3.5 A.

So, R1 = 49/3.5 = 14 Ω

Hence, the value of R1 is 14 Ω and R2 is 40 Ω.

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