Problem 20.55
A parallel-plate capacitor is constructed with circular plates
of radius 5.30×10−2 m . The plates are separated by 0.27
mm , and the space between the plates is filled with a dielectric
with dielectric constant κ. When the charge on the capacitor is 2.0
μC the potential difference between the plates is 1090 V .
Find the value of the dielectric constant, κ.
Problem 20.55 A parallel-plate capacitor is constructed with circular plates of radius 5.30×10−2 m . The...
A parallel-plate capacitor is constructed with circular plates of radius 0.056 m. The plates are separated by a distance of 0.25 mm, and the space between the plates is filled with a dielectric with dielectric constant κ. When the capacitor is charged to 1.2 µC, the potential difference between the plates is 750 V. What is the value of κ?
A parallel-plate capacitor has plates with an area of 1.0×10−2 m2 and a separation of 0.82 mm . The space between the plates is filled with a dielectric whose dielectric constant is 2.1. A. What is the potential difference between the plates when the charge on the capacitor plates is 4.2 μC ? B. Will your answer to part A increase, decrease, or stay the same if the dielectric constant is increased?
A parallel plate capacitor is constructed with circular plates of radius 0.750 cm and plate separation 0.0500 mm. If the capacitor is connected across a 37.2 V source, find: a) the capacitance b) the surface charge on each plate c) The energy stored in the capacitor d) the electric field between the plates e) the energy density between the plates
The plates of an air-filled parallel-plate capacitor with a plate area of 16.5 cm2 and a separation of 8.80 mm are charged to a 130-V potential difference. After the plates are disconnected from the source, a porcelain dielectric with κ = 6.5 is inserted between the plates of the capacitor. (a) What is the charge on the capacitor before and after the dielectric is inserted? Qi = ___C Qf = ____C (b) What is the capacitance of the capacitor after...
A parallel plate capacitor has plates of area A = 5.50 ✕ 10−2 m2 separated by distance d = 1.32 ✕ 10−4 m. (The permittivity of free space is ε0 = 8.85 ✕ 10−12 C2/(N · m2).) (a) Calculate the capacitance (in F) if the space between the plates is filled with air. . What is the capacitance (in F) if the space is filled half with air and half with a dielectric of constant κ = 3.10 as in...
The two plates of a parallel-plate capacitor each have an area of 2.09 × 10-2 m2. The separation between the plates is 0.124 mm and the space between the plates is filled with a material with a dielectric constant of 4.45. (a) What is the capacitance of this capacitor? (b) If the plates are connected to the terminals of a battery so that the magnitude of the potential difference between the plates is 8.13 V, what is the magnitude of...
The two plates of a parallel-plate capacitor each have an area of 2.25 × 10-2 m2. The separation between the plates is 0.164 mm and the space between the plates is filled with a material with a dielectric constant of 4.10. (a) What is the capacitance of this capacitor? (b) If the plates are connected to the terminals of a battery so that the magnitude of the potential difference between the plates is 7.90 V, what is the magnitude of...
A parallel-plate capacitor has a plate area of A = 250 cm2 and a separation of d = 2.00 mm. The capacitor is charged to a potential difference of V0 = 150 V by a battery. A dielectric sheet (κ = 3.50) of the same area but thickness ℓ = 1.00 mm is placed between the plates without disconnecting the battery. (See figure 24-18 on page 642). Determine the initial capacitance of the air-filled capacitor. Determine the charge on the...
A parallel plate capacitor is made of plates of area 0.05 m? each. The plates are separated by a distance of 0.200 mm. Initially, the space between the plates is filled with air. (a) What is the capacitance of this air-filled capacitor? (b) If the electric field inside the capacitor exceeds 3.00 x 106 V/m, the air undergoes electrical break- down. (This maximum field is known as the dielectric strength of air.) From this, calculate the maxi- mum voltage (potential...
A 2.0 μF parallel-plate air-filled capacitor is connected across a 10 V battery. (a) Determine the charge on the capacitor and the energy stored in the capacitor. (b) An identical 2.0 μF parallel-plate air-filled capacitor is connected across a 5 V battery, and a dielectric slab with dielectric constant κ is inserted between the plates of the capacitor, completely filling the region between the plates, while the battery remains connected. The energy stored in this capacitor is four times that...