Thermodynamic
The capacitance of an isolated sphere of radius R is
A) \( 4 \pi \epsilon_0 R \)
B) \( 4 \pi \epsilon_0 R^2 \)
C) \( R / (4 \pi \epsilon_0) \)
D) \( 4 \pi \epsilon_0 / R \)
The equivalent capacitance of two capacitors in series is
A) \( C_1 + C_2 \)
B) \( \frac{C_1 C_2}{C_1 + C_2} \)
C) \( C_1 C_2 \)
D) \( C_1 - C_2 \)
The equivalent capacitance of two capacitors in parallel is
A) \( C_1 + C_2 \)
B) \( \frac{C_1 C_2}{C_1 + C_2} \)
C) \( C_1 C_2 \)
D) \( C_1 - C_2 \)
If two capacitors of capacitance C each are connected in series, the equivalent capacitance is
A) C
B) 2C
C) C/2
D) 4C
If two capacitors of capacitance C each are connected in parallel, the equivalent capacitance is
A) C
B) 2C
C) C/2
D) 4C
The energy density in an electric field is
A) \( \frac{1}{2} \epsilon_0 E^2 \)
B) \( \frac{1}{2} \epsilon_0 E \)
C) \( \epsilon_0 E^2 \)
D) \( \epsilon_0 E \)
The force between two charges is F. If the distance between them is doubled, the force becomes
A) F/2
B) F/4
C) 2F
D) 4F
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