2. Electric Potential and Capacitance
hard

$3\,\mu F$ અને $5\,\mu F$ ધરાવતા કેપેસિટરને અનુક્રમે $300\,V$ અને $500\,V$ ચાર્જ કરેલ છે.બંનેને તાર વડે જોડતાં તે કેટલી ઊર્જા ગુમાવશે?

A

$0.012\, J$

B

$0.0218\, J$

C

$0.0375\, J$

D

$3.75\, J$

Solution

(c) $\Delta U = \frac{1}{2}\frac{{{C_1}{C_2}{{({V_2} – {V_1})}^2}}}{{({C_1} + {C_2})}}$$ = \frac{{(3 \times 5) \times {{10}^{ – 12}} \times {{(500 – 300)}^2}}}{{(3 + 5) \times {{10}^{ – 6}}}}$
$ = \frac{{15 \times {{10}^{ – 12}} \times 4 \times {{10}^4}}}{{8 \times {{10}^{ – 6}}}} = 0.0375\,J$

Standard 12
Physics

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