SATHEE: Electrostatics Question 13

Electrostatics Question 13

Question: Separation between the plates of a parallel plate capacitor is $d$ and the area of each plate is $A$ . When a slab of material of dielectric constant $k$ and thickness $t (t < d)$ is introduced between the plates, its capacitance becomes [MP PMT 1989]

Options:

A) $\frac{ε_{0} A}{d + t (1 - \frac{1}{k})}$

B) $\frac{ε_{0} A}{d + t (1 + \frac{1}{k})}$

C) $\frac{ε_{0} A}{d - t (1 - \frac{1}{k})}$

D) $\frac{ε_{0} A}{d - t (1 + \frac{1}{k})}$

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Answer:

Correct Answer: C

Solution:

Potential difference between the plates $V = V_{a i r} + V_{m e d i u m}$

$= \frac{σ}{ε_{0}} \times (d - t) + \frac{σ}{K ε_{0}} \times t$

therefore $V = \frac{σ}{ε_{0}} (d - t + \frac{t}{K})$

$= \frac{Q}{A ε_{0}} (d - t + \frac{t}{K})$

Hence capacitance $C = \frac{Q}{V} = \frac{Q}{\frac{Q}{A ε_{0}} (d - t + \frac{t}{K})}$

$= \frac{ε_{0} A}{(d - t + \frac{t}{k})} = \frac{ε_{0} A}{d - t (1 - \frac{1}{k})}$

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Electrostatics Question 13

Question: Separation between the plates of a parallel plate capacitor is $d$ and the area of each plate is $A$ . When a slab of material of dielectric constant $k$ and thickness $t (t < d)$ is introduced between the plates, its capacitance becomes [MP PMT 1989]

Options:

Answer:

Solution:

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Electrostatics Question 13

Question: Separation between the plates of a parallel plate capacitor is d and the area of each plate is A . When a slab of material of dielectric constantk and thickness t(t<d) is introduced between the plates, its capacitance becomes [MP PMT 1989]

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: Separation between the plates of a parallel plate capacitor is $d$ and the area of each plate is $A$ . When a slab of material of dielectric constant $k$ and thickness $t (t < d)$ is introduced between the plates, its capacitance becomes [MP PMT 1989]