Question

In the adjoining circuit R1 = 100 ohm, R2 = R3 = 50 ohm,
R4 = 75 ohm and V=4.75V
Find out the equivalent resistance of the circuit
and the current in each resistor.
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Answer 1

Answer:

Explanation: First find the effective resistance then find the potential drop across R2 and find the current through R2,R3 and R4.

Answer 2

Given,

A circuit

R1 = 100 ohm,

R2 = R3 = 50 ohm,

R4 = 75 ohm

V=4.75V

To find,

the equivalent resistance of the circuit and the current in each resistor

Solution,

First, we find the resistance of R2, R3 and R4

1/R' = 1/R2 + 1/R3 + 1/R4

= 1/50 + 1/50 + 1/75

= 2/50 + 1/75

= 1/25 + 1/75

= (3 + 1)/75

= 4/75

So, R' = 75/4 Ohm

Now we add the resistance of R1

R = R1 + R'

= 100 + 75/4

= 475/4

= 118.75 Ohm

Now, the current in each resistor

V = I x R

V = 475/4 x I

I = 4.75/(475/4)

I = 0.04A

Thus, the equivalent resistance is 118.75 Ohm and the current passing through each resistor is 0.04A