Electronic Devices Test -4

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Electronic Devices Test -4

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Weekly Quiz Competition

Question 1
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Which of the following statement is true about the parallel combination of the capacitors?

A
The charge on each capacitor remains constant in the parallel combination

B
The net capacitance of the combination is less than the capacitance of the individual capacitors

C
The voltage across each capacitor is constant in parallel combination

D
None of the above
Question 2
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Two capacitors of capacitance 10 μF and 20 μF are connected to a battery of 10 V in parallel combination. Find the total charge on the capacitor.

A
3× 10^-4 C

B
2× 10^-4 C

C
1× 10^-4 C

D
1.5 × 10^-4 C

Solution

The effective combination for the series combination of capacitors in parallel combination is 10 μF, and 20 μF is

C_eff = C₁+C₂ =10 μF + 20 μF = 30μF

The charge, Q_total= C_eff × V

Q_eff =30 × 10^-6× 10= 3× 10^-4 C
Question 3
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When capacitors are connected in the parallel combination which of the following physical quantities remain constant?

A
Potential difference, V

B
Charge, Q

C
Electric field, E

D
Both A and C

Solution

When two capacitors are arranged in parallel combination, the same potential difference is applied across both the capacitors. But the plate charges (±Q₁) on the capacitor 1 and the plate of charges (±Q₂) on the capacitors 2 are not necessarily the same:

Q₁ = C₁ V, Q₂ = C₂ V

The equivalent capacitor is one with charge Q = Q₁ + Q₂

and potential difference V. Q = CV = C₁V + C₂V

The effective capacitance C is, from Eq. , C = C₁ + C₂

The general formula for effective capacitance C for parallel combination of n capacitors follows similarly,

Q = Q₁ + Q₂ + ... + Q_n

i.e., CV = C₁ V + C₂ V + ... C_n V

which gives C = C₁ + C₂ + ... C_n

The potential difference is the change in the electric field,

Hence, The electric field is also constant