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JEE Main & Advanced Physics Electrostatics & Capacitance Question Bank Grouping of Capacitors

  • question_answer
    Four condensers each of capacity \[4\mu F\] are connected as shown in figure. \[{{V}_{P}}-{{V}_{Q}}=15\,volts\]. The energy stored in the system is                          [CPMT 1976, 89]

    A)                    \[2400\ ergs\]

    B)                    \[1800\ ergs\]

    C)            \[3600\ ergs\]

    D)            \[5400\ ergs\]

    Correct Answer: B

    Solution :

                       Total capacitance of given system  \[{{C}_{eq}}=\frac{8}{5}\mu F\] \[U=\frac{1}{2}{{C}_{eq}}{{V}^{2}}=\frac{1}{2}\times \frac{8}{5}\times {{10}^{-6}}\times 225=180\times {{10}^{-6}}J\]     \[=180\times {{10}^{-6}}\times {{10}^{7}}erg=1800\,erg\]


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