Question

given r1=5 ohm
r2=3ohm
r3=4ohm
V=12v
find total resistance and current flowing through each resistor if connected in parallel​

Answer 1

Answer:

V=12V

R1, R2 and R3 are connected in parallel.

(a) Current through R1 = V/R1 = 12/5 = 2.4 A

Current through R2 = V/R2 = 12/10 = 1.2 A

Current through R3 = V/R2 = 12/30 = 0.4 A

(b) Total current in the circuit = 2.4 + 1.2 + 0.4 = 4 A

(c) Total resistance in the circuit=R

1/R = 1/R1+ 1/R2 + 1/R

1/R = 1/5 + 1/10 + 1/30

1/R = 10/30

R = 3 ohm

Answer 2

1/Rp= 1/r1+1/r2+1/r3

1/Rp= 1/5+1/3+1/4

1/Rp= 12+20+15/60

1/Rp = 47/60

Rp=60/47

V=12v

V = IR

12 = I × 60/47

12×47/60 = I

47/5=I

9.4Ampere =I