Question

answer the question

resistor having resistance of 15 20 and 10 are connected in parallel , what is the effective resistance in the circuit ?​

Answer 1

Answer:

let the effective resistance be R then

1/R = 1/15 + 1/20 + 1/10 = (4 + 3 +6)/60 =13/60

R = 60/13 Ans

Answer 2

✬ Resistance = 4.615 ohms ✬

Explanation:

Given

• Resistances are 15 ohms , 20 ohms and 10 ohms.
• These are connected in parallel.

To Find:

• What is the effective resistance in the circuit ?

Solution: For resistance connected in parallel we know the formula is

★ 1/RP = 1/R1 + 1/R2 + 1/R3 ..... ★

He//re we have

• R1 = 15 ohms
• R2 = 20 ohms
• R3 = 10 ohms

Putting the value on the formula

$\implies{\rm }$ 1/RP = 1/15 + 1/20 + 1/10

$\implies{\rm }$ 1/RP = 4 + 3 + 6/60

$\implies{\rm }$ 1/RP = 13/60

$\implies{\rm }$ 60 = 13RP

$\implies{\rm }$ 60/13 = RP

$\implies{\rm }$ 4.615 ohms = RP

Hence, the effective resistance in the circuit is 4.615 ohms.

• Note : (RP is for Resistance in Parallel)

• S.I unit of resistance is ohm metre.