Question 1 A piece of wire of resistance R is cut into five equal parts. These parts are then connected in parallel. If the equivalent resistance of this combination is R', then the ratio RR′ is –
(a) 125 (b) 15 (c) 5 (d) 25
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Solution
(d) 25 The wire is cut into 5 equal parts, each resistance will be of R5. All the 5 parts are connected in parallel. Therefore, equivalent resistance (R') is given as 1R′=5R+5R+5R+5R+5R = 5+5+5+5+5R = 25R RR′ = 25