(a) According to the question,, find the total resistance of the circuit.
V = 4 V
I = 0.4 A
Total resistance R’ =?
R’ = V / I
R’ = 0.4 / 4
R’ = 10 ohm
(b) To calculate the value of R
R1 = 20 ohm
R’ = 10 ohm
1 / R’= 1 / R + 1 / R1
1 / 10 = 1 / R + 1 / 20
1 / R = 1 / 10 – 1 / 20
1 / R = (2 – 1) / 20
1 / R = 1 / 20
R = 20 ohm
(c) To find the current passing through R
Given
R = 20 ohm
V = 4 V
I = V / R
I = 4 / 20
Hence,
I = 0.2 A