If two resistors each 20 Ohm are connected in parallel then the t

If two resistors each 20 Ohm are connected in parallel then the t
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If two resistors each 20 Ohm are connected in parallel then the total value of resistance is …

A. 10 ohm

B. 20 ohm

C. 40 ohm

D. 50 ohm

Please scroll down to see the correct answer and solution guide.

Right Answer is: A

SOLUTION

For Series connection:

  • I = I1 = I2
  • V = V1 + V2
  • R = R1 + R2

For Parallel connection:

  • I = I1 + I2
  • V = V1 = V2
  • \(\frac{1}{R} = \frac{1}{{{R_1}}} + \frac{1}{{{R_2}}}\)

Here R1 = R2 = 20Ω

\(\frac{1}{R} = \frac{1}{{{R_1}}} + \frac{1}{{{R_2}}} = \frac{1}{{20}} + \frac{1}{{20}} = \frac{1}{{10}} \Rightarrow R = 10{\rm{\Omega }}\)

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