How many 20 Ω resistors must be connected in series to give an equivalent resistance to five 200 Ω resistors connected in parallel?

Question

Question

How many 20 $Ω$ resistors must be connected in series to give an equivalent resistance to five 200 $Ω$ resistors connected in parallel?

Answer 1

Answer #1

SOLUTION :

5 resistors of 200 ohms each connected in parallel is :

= 1 / [ 1/200 + 1/200 + 1/200 + 1/200 + 1/200 ]

= 1 / [ 5/200 ]

= 200/5

= 40 homes

So its equivalent is 2 resistors of 20 ohms connected in series which will also be equal to 40 ohms.

Hence, 2 resistors of 20 ohms in series is equivalent to 5 resistors of 200 ohms each connected in parallel. (ANSWER).

answered by: Tulsiram Garg

Answer 2

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