A $4\ \Omega$ resistor is connected in series with a parallel combination of $6\ \Omega$ and $3\ \Omega$ resistors, and the whole arrangement is connected across a $12$ V supply of negligible internal resistance. Find the potential difference across the parallel combination.

Question

Accepted Answer

$4$ V. The parallel pair gives $2\ \Omega$, so the total resistance is $4 + 2 = 6\ \Omega$ and the current is $\dfrac{12}{6} = 2$ A. The p.d. across the parallel combination is $2 	imes 2 = 4$ V; the remaining 8 V is across the $4\ \Omega$ resistor.

Answer

A) $8$ V

Answer

B) $2$ V

Answer

C) $4$ V

Answer

D) $12$ V

A $4\ \Omega$ resistor is connected in series with a parallel combination of $6\ \Omega$ and $3\ \Omega$ resistors, and the whole arrangement is connected across a $12$ V supply of negligible internal resistance. Find the potential difference across the parallel combination.

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