SATHEE: Electrostatics 5 Question 26

Electrostatics 5 Question 26

28. Two identical capacitors, have the same capacitance $C$ . One of them is charged to potential $V_{1}$ and the other to $V_{2}$ . Likely charged plates are then connected. Then, the decrease in energy of the combined system is

(a) $\frac{1}{4} C (V_{1}^{2} - V_{2}^{2})$

(b) $\frac{1}{4} C (V_{1}^{2} + V_{2}^{2})$

(d) $\frac{1}{4} C {(V_{1} + V_{2})}^{2}$

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Solution:

$Δ U =$ decrease in potential energy

$\begin{aligned} = U_{i} - U_{f} \\ = \frac{1}{2} C (V_{1}^{2} + V_{2}^{2}) - \frac{1}{2} (2 C) \frac{V_{1} + V_{2}}{2} \\ = \frac{1}{4} C {(V_{1} - V_{2})}^{2} \end{aligned}$

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Electrostatics 5 Question 26

28. Two identical capacitors, have the same capacitance $C$ . One of them is charged to potential $V_{1}$ and the other to $V_{2}$ . Likely charged plates are then connected. Then, the decrease in energy of the combined system is

Solution:

इंजीनियरिंग की तैयारी

चिकित्सा तैयारी

एनसीईआरटी पुस्तकें और समाधान

महत्वपूर्ण संसाधन

अन्य संसाधन

पाठ्यक्रम

परीक्षा मंच

नमूना मॉक टेस्ट

सदस्यता

एनसीईआरटी व्यायाम वीडियो समाधान

Electrostatics 5 Question 26

28. Two identical capacitors, have the same capacitance C. One of them is charged to potential V1 and the other to V2. Likely charged plates are then connected. Then, the decrease in energy of the combined system is

Solution:

इंजीनियरिंग की तैयारी

चिकित्सा तैयारी

एनसीईआरटी पुस्तकें और समाधान

महत्वपूर्ण संसाधन

अन्य संसाधन

पाठ्यक्रम

परीक्षा मंच

नमूना मॉक टेस्ट

सदस्यता

एनसीईआरटी व्यायाम वीडियो समाधान

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28. Two identical capacitors, have the same capacitance $C$ . One of them is charged to potential $V_{1}$ and the other to $V_{2}$ . Likely charged plates are then connected. Then, the decrease in energy of the combined system is