Explain why increasing the voltage appliedto a wire can have the same effect on the current in the wire that decreasing the resistance of the wir does.

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Solution

$A c c o r d i n g t o o h m' s l a w, V = I R a s, V \propto I S o, w h e n w e i n c r e a s e t h e v o l t a g e, c u r r e n t w i l l a l s o i n c r e a s e . A n d a l s o, I = \frac{V}{R} S o, I \propto \frac{1}{R} A s c u r r e n t i s i n v e r s e l y p r o p o r t i o n a l t o t h e r e s i s \tan c e, s o w h e n r e s i s \tan c e d e c r e a s e s, c u r r e n t w i l l i n c r e a s e s . S o i n b o t h c a s e s, c u r r e n t w i l l i n c r e a s e .$

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Explain why increasing the voltage appliedto a wire can have the same effect on the current in the wire that decreasing the resistance of the wir does.

According to ohm's law ,V = I Ras ,V∝ ISo , when we increase the voltage , current will also increase.And also ,I=VRSo,I∝1RAs current is inversely proportional to the resistance , so when resistance decreases , current will increases.So in both cases, current will increase.