A metal sphere with radius ra is supported on an insulating stand at the center of a hollow, metal, spherical shell with radius
rb. There is charge +q on the inner sphere and charge −q on the outer spherical shell. Take V to be zero when r is infinite.
a. Calculate the potential V(r) for r
b. Calculate the potential V(r) for ra
c. Calculate the potential V(r) for r>rb
d. Find the potential of the inner sphere with respect to the outer.
Use the equation Er=−∂V∂r and the result from part (b) to find the electric field at any point between the spheres (ra
Use the equation Er=−∂V∂r and the result from part (c) to find the electric field at a point outside the larger sphere at a distance r from the center, where r>
a. Calculate the potential V(r) for r
b. Calculate the potential V(r) for ra
c. Calculate the potential V(r) for r>rb
d. Find the potential of the inner sphere with respect to the outer.
Use the equation Er=−∂V∂r and the result from part (b) to find the electric field at any point between the spheres (ra
Use the equation Er=−∂V∂r and the result from part (c) to find the electric field at a point outside the larger sphere at a distance r from the center, where r>
1 answer:
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To solve this problem we will apply the concepts related to electric potential energy. This relationship shows us that energy is equivalent to half the product between the capacitance of the body by the squared voltage. Mathematically it can be expressed as,
Here,
C = Capacitance
V = Voltage
E = Energy
The initial capacitance would then be given by
Energy stored in the capacitor with 3V is
Therefore the energy stored in the capacitor if it is charged to 3V is 8mJ
Answer:
the transmission axis of polarizing sheet makes an angle of with the horizontal
Explanation:
We have given that intensity of light incident on the sheet
Average intensity of light emerging from a polarizing sheet
We have to find the angle between transmission axis with the horizontal
Intensity of light polarizing from sheet is equal to
So
So the transmission axis of polarizing sheet makes an angle of with the horizontal