Question

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Γhere αre m resıstor eαch of resıstαnce R. Ғırst theч αll αre connected ın serıes αnd equıvαlent resıstαnce ıs X. Ṉoɯ theч αre connected ın pαrαllel αnd equıvαlent resıstαnce ıs Ɏ.  Whαt ıs the rαtıo of X αnd Ɏ?​

Answer 1

Here is the correct answer:-

Refer to the attachment above

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Answer 2

Answer:

m resistors each of resistance R is provided.

First they are connected in series , that is connected end to end such that current through each resistance remains same , but the potential difference supplied by battery gets divided.

Let equivalent resistance be x

x = R + R + R + ...m

=>x=mR

Next they are connected in parallel with each other such that potential difference remains same but current gets divided.

Let equivalent resistance be y .

$\dfrac{1}{y} = \dfrac{1}{R} + \dfrac{1}{R} + m$

=>y1=Rm

=>y=mR

Required ratio will be :

x:y=m2:1