JEE MAIN - Physics (2020 - 8th January Morning Slot - No. 12)

Four resistances of 15$$\Omega $$, 12$$\Omega $$, 4$$\Omega $$ and 10$$\Omega $$ respectively in cyclic order to form Wheatstone's network. The resistance that is to be connected in parallel with the resistance of 10$$\Omega $$ to balance the network is _____$$\Omega $$.
Answer
10

Explanation

JEE Main 2020 (Online) 8th January Morning Slot Physics - Current Electricity Question 226 English Explanation

Wheatstone bridge balance condition

$${{{R_1}} \over {{R_2}}} = {{{R_3}} \over {{R_4}}}$$

$$ \Rightarrow $$ $${{15} \over 4} = {{15} \over {{{10R} \over {10 + R}}}}$$

$$ \Rightarrow $$ 2R = 10 + R

$$ \Rightarrow $$ R = 10 $$\Omega $$

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