Two bars of radius r and 2r are kept in contact as shown. An electric current I is passed through the bars. Which one of following is correct? [2006, 3M]

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Current density across AB is double that of across BC

Potential difference across AB is 4 times that of across BC

Electric field in both halves is equal

Heat produced in bar BC is 4 times the heat produced in bar AB

answer is A.

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Detailed Solution

Current flowing through both the bars is equal Now the heat produced is given by
$H = I^{2} Rt or HαR . S i n c e R = ρ \frac{l}{A} a n d A_{A B} = 4 A_{B C} w e c a n c o n c l u d e, H_{BC} = 4 H_{AB}$

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