Question

In the Given circuit (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 ​

Answer 1

Given: The circuit with R1 = 2Ω, 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 = 4Ω.

                  I = V/R = 10/4

• I = 5/2 A

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

• Let the current in R2 be I, 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) = 5 V

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

Answer:

                So total resistance in circuit is 4Ω 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.

Answer 2

Answer:

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