Question

23. In the given circuit, ( tilde i ) find the equivalent resistance of the circuit and total current flowing in the circuit. (ii) find the current flowing through R_{2} and R.. (iii) find the voltage across each resistance.
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Answer 1

Answer:

Given: The circuit with R1 = 20, R2 = R3 =

4Ω

To find: (i) Find the equivalent resistance of the circuit and total current flowing in the circuit. (ii) find the current flowing through R2 and R3. (iii) find the voltage across each resistance

Solution:

Now R2 and R3 are in parallel, so:

1/R=1/4 + 1/4 = 2/4 = 1/2

R = 2

R(eq) = 2 + 2 = 40.

I = V/R = 10/4

• 1 = 5/2 A

• Now since R2 and R3 is same so the current in both will be same.

Let the current in R2 be 1, then by considering the circuit with R2, we get:

10 -2(5/2) - 4i = 0

10 - 5 = 4i

5=4i

i = 5/4 A

Now voltage drop across:

R1: 2x(5/2) = 5V

R2 = R3: 4x(5/4) = 5 V

Answer:

So total resistance in circuit is 40 and total current is 5/2 A. Total current flowing through R2 and R3 is 5/4 A. The voltage across each resistance is 5V.