How to Calculate Capacitance and Potential Difference of a Cylindrical Capacitor
The capacitance of the cylindrical capacitor is approximately 2.53 x 10^-10 F. The applied potential difference needed to produce the charges on the cylinders is approximately 78.9 V.
Calculating Capacitance and Potential Difference of a Cylindrical Capacitor
A cylindrical capacitor is made from two hollow, coaxial, iron cylinders with specific charges and dimensions. To calculate the capacitance of the cylindrical capacitor, we can use the formula:
C = 2πε₀L / ln(b/a)
Where:
C is the capacitance,
ε₀ is the vacuum permittivity (approximately 8.854 x 10^-12 F/m),
L is the length of the cylinders,
a is the radius of the inner cylinder, and
b is the radius of the outer cylinder.
Plugging in the given values, we find that the capacitance is approximately 2.53 x 10^-10 F.
To calculate the applied potential difference needed to produce the charges on the cylinders, we can use the formula:
V = Q/C
Where:
V is the potential difference,
Q is the charge on the cylinders, and
C is the capacitance.
Plugging in the given values, we find that the potential difference is approximately 78.9 V.