Assertion: Id distance between the parallel plates of a capacitor is halved, then its capacitance is doubled. Reason: The capacitance depends on the i

Question

Assertion: Id distance between the parallel plates of a capacitor is halved, then its capacitance is doubled. Reason: The capacitance depends on the i

Assertion: Id distance between the parallel plates of a capacitor is halved, then its capacitance is doubled.
Reason: The capacitance depends on the introduced dielectric.
A. If both assertion and reason are ture and reason is the correct explanation of assertion.
B. If both assertin and reason are ture but reason is not the correct explanation of assertion .
C. If assertion is true but reason is false.
D. If both assertion and reason are false.

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Correct Answer - B
The capacitance of a parallel plates capacitor is given by `C = (epsi_(0)A)/(d)` .
Where A is area of each plate, d is the distance between plantes,
`therefore " "(C_(1))/(C_(2)) = ((epsi_(0)A)/(d))/((epsi_(0)A)/(d//2)) = (1)/(2) therefore C_(2) = 2 C_(1)`
where dielectric of dielectric constant k is introduced in between the plates then the capacitance `C = ( k epsi_(0)A)/(d)` i.e., `C prop K` .
Capacitacne C depends on introduced dielectric .