Answer to Question #95395 in Electric Circuits for maryam

Question

THE RESISTIANCE OF WIRE IS R . ITS CUT INTO 4 EQUAL PARTS AND THESE PARTS ARE CONNECTED SIDE BY SIDE M THE EFFECTIVE RESISTANCE BECOMES?

Answer 1

Resistance of single wire$=R$

When the wire is cut into four pieces,the resistance gets divided into one-fourth of the total resistance for each part.

So,resistance of each single part is $\frac{R}{4}$

When they are connected in series(side by side),their resistance gets add up;

Net resistance after connection in series$=\frac{R}{4}+\frac{R}{4}+\frac{R}{4}+\frac{R}{4}=\frac{4R}{4}=R$