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Byju's Answer

Standard XII

Physics

Charging by Friction

The breakdown...

Question

The breakdown field strength for dry air is $3 \times 10^{6}$ V/m. Each of the plates of the parallel plate capacitor has an area of $0.2 m^{2}$ . The maximum charge that can be collected is : (Given permittivity of air $ϵ_{\circ} = 8.85 \times 10^{- 12} C^{2} / N m^{2}$ )

5.3 μ

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0.6 μ

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1.5 μ

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4.56 μ

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Solution

The correct option is A $5.3 μ$ C
We know electric field between capacitors $= \frac{σ}{ε_{0}}$
$∴$ maximum charge is,
$\frac{Q}{A ε_{0}} = 3 \times 10^{6}$
$Q = (3 \times 10^{6}) \times (0.2) \times (8.5 \times 10^{- 12})$
$Q = 5.31 \times 10^{- 6}$
$Q = 5.31 μ C$

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The breakdown field strength for dry air is $3 \times 10^{6}$ V/m . Each of the plates of parallel plate capacitor has an area of $0.2 m^{2}$ . The maximum charge that can be collected is:

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The breakdown field strength for dry air is 3×106V/m. Each of the plates of the parallel plate capacitor has an area of 0.2m2. The maximum charge that can be collected is : (Given permittivity of air ϵ∘=8.85×10−12C2/Nm2)

The correct option is A 5.3μ CWe know electric field between capacitors =σε0∴ maximum charge is,QAε0=3×106Q=(3×106)×(0.2)×(8.5×10−12)Q=5.31×10−6Q=5.31μC

The breakdown field strength for dry air is $3 \times 10^{6}$ V/m. Each of the plates of the parallel plate capacitor has an area of $0.2 m^{2}$ . The maximum charge that can be collected is : (Given permittivity of air $ϵ_{\circ} = 8.85 \times 10^{- 12} C^{2} / N m^{2}$ )

The correct option is A $5.3 μ$ C
We know electric field between capacitors $= \frac{σ}{ε_{0}}$
$∴$ maximum charge is,
$\frac{Q}{A ε_{0}} = 3 \times 10^{6}$
$Q = (3 \times 10^{6}) \times (0.2) \times (8.5 \times 10^{- 12})$
$Q = 5.31 \times 10^{- 6}$
$Q = 5.31 μ C$