Question

how much voltage should be applied to a 50 ohm resistance,to produce 1000j of heat in 10 second?​

Answer 1

Given ,

Resistance = 50 ohm

Heat = 1000 joule

Time = 10 sec

We know that ,

$\sf \large \fbox{ \fbox{H= \frac{ {(V)}^{2} t }{R} }}$

$\sf \implies 1000 = \frac{ {(V )}^{2} \times \cancel{10} }{ \cancel{50}} \\ \\\sf \implies 1000 = \frac{ {(V )}^{2} }{5} \\ \\ \sf \implies {(V )}^{2} = 5000 \\ \\\sf \implies V = \sqrt{5000} \\ \\\sf \implies V = 70.7 \: \: volt$

Hence , the required value of potential difference is 70.7 volt