SATHEE: Electrostatics Question 269

Electrostatics Question 269

Question: An infinite number of identical capacitors each of capacitance $1 μ F$ are connected as in . Then the equivalent capacitance between $A$ and $B$ is [EAMCET 1990]

Options:

A) Fraction of stored energy after 1 second is 16/25

B) Potential difference between the plates after 2 seconds will be 32 V

C) Potential difference between the plates after 2 seconds will be 20 V

D) Fraction of stored energy after 1 second is 4/5

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Answer:

Correct Answer: A , B

Solution:

By using $V = V_{0} e^{- t / C R} \Rightarrow 40 = 50 e^{- 1 / C R} \Rightarrow e^{- 1 / C R} = 4 / 5$ Potential difference after 2 sec

$V^{'} = V_{0} e^{- 2 / C R} = 50 {(e^{- 1 / C R})}^{2} = 50 {(\frac{4}{5})}^{2} = 32 V$

Fraction of energy after 1 sec $=$ $\frac{\frac{1}{2} C {(V_{f})}^{2}}{\frac{1}{2} C {(V_{i})}^{2}} = {(\frac{40}{50})}^{2} = \frac{16}{25}$

Fraction of stored energy after 1 second is 16/25 (a, b)

By using $V = V_{0} e^{- t / C R} \Rightarrow 40 = 50 e^{- 1 / C R} \Rightarrow e^{- 1 / C R} = 4 / 5$

Potential difference after 2 sec $V^{'} = V_{0} e^{- 2 / C R} = 50 {(e^{- 1 / C R})}^{2} = 50 {(\frac{4}{5})}^{2} = 32 V$ Fraction of energy after 1 sec $=$

$\frac{\frac{1}{2} C {(V_{f})}^{2}}{\frac{1}{2} C {(V_{i})}^{2}} = {(\frac{40}{50})}^{2} = \frac{16}{25}$

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Electrostatics Question 269

Question: An infinite number of identical capacitors each of capacitance $1 μ F$ are connected as in . Then the equivalent capacitance between $A$ and $B$ is [EAMCET 1990]

Options:

Answer:

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 Question 269

Question: An infinite number of identical capacitors each of capacitance 1μF are connected as in . Then the equivalent capacitance between A and B is [EAMCET 1990]

Options:

Answer:

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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Question: An infinite number of identical capacitors each of capacitance $1 μ F$ are connected as in . Then the equivalent capacitance between $A$ and $B$ is [EAMCET 1990]