A spherical capacitor with charge, Q = 6.04 μC, has inner radius, 32.8 cm, and outer radius, 46.7 cm. (a) How much electric potential energy is stored in the capacitor? Uc = 0.148771101 (b) What is the magnitude of the electric field midway between the two spheres? Emid = 1.9e-7 V/m (c) What is the energy density midway between the two spheres? UE = 1.86e-4 J/m³ x
A spherical capacitor with charge, Q = 6.04 μC, has inner radius, 32.8 cm, and outer radius, 46.7 cm. (a) How much electric potential energy is stored in the capacitor? Uc = 0.148771101 (b) What is the magnitude of the electric field midway between the two spheres? Emid = 1.9e-7 V/m (c) What is the energy density midway between the two spheres? UE = 1.86e-4 J/m³ x
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GIVE BOTH QUESTIONS AND GIVE THE RIGHT UNITS
Transcribed Image Text:A spherical capacitor with charge, Q = 6.04 μC, has inner radius, 32.8 cm, and outer radius, 46.7 cm.
(a) How much electric potential energy is stored in the capacitor?
Uc = [0.148771101
(b) What is the magnitude of the electric field midway between the two spheres?
Emid = 1.9e-7
V/m
(c) What is the energy density midway between the two spheres?
J/m³ x
UE = 1.86e-4
Transcribed Image Text:CAPACITORS STORE ELECTRIC POTENTIAL ENERGY
The electric potential energy stored in a capacitor
with charge, Q, and potential difference, V, is given by:
Uc=
Uc
2C
Using the definition of capacitance, C = Q/V, gives
two alternate forms for the stored potential energy.
and Uc=
QV
2
=
2
The energy density, u, is the amount of
electric potential energy that is stored
in a capacitor, per unit volume:
QV
UE
Uc
Ad 2A-3°E=1/E²
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