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What is the minimum resistance which can be made using five resistor, each of 1/5 ohm.

Posted by Manish Kumar 5 years, 3 months ago

CBSE > Class 10 > Science

3 answers

A . 5 years, 2 months ago

1 ohm

0Thank You

Yogita Ingle 5 years, 3 months ago

When resistors are connected in parallel, the supply current is equal to the sum of the currents through each resistor. In other words, the currents in the branches of a parallel circuit add up to the supply current.

Also, they have the same potential difference across them. In other words, any components in parallel have the same potential difference across them. And, the total resistance will always be lesser than the least resistance in the circuit.

The total resistance is calculated as 1/R_T= 1/R₁+1/R₂+ 1/R3.Thatis,R=R_T⁻¹.

In this case, the given resistance are of 1/5 ohms each. Therefore, the minimum resistance that can be obtained from the parallel connection of these five resistors is given as follows.

1/R_T = 5/1+ 5/1 + 5/1 + 5/1 + 5/1 =25/1.Therefore,R= 1/25.

Hence, the minimum resistance which can be made using five resistors each of 1/5 ohms is 1/25 ohms.

1Thank You

D.R.K Mishra 5 years, 3 months ago

Minimum resistance,R=1/5+1/5+1/5+1/5+1/5 R=(1+1+1+1+1)/5 R=5/5 R=1 •°•Thus, minimum resistance,R is 1

2Thank You

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