The electric potential on the axis of a uniform ring of charge density A (shown in Figure 3) is given by 1 V 4TE0 VR? + Z? where Q is the total charge on the ring, Ris the radius of the ring, and Z is the distance along the axis from the center of the ring as shown in Figure 3. P R Figure 3: A ring of charge density A used in question A4 a) Derive an expression for the magnitude of the electric field on the axis of the ring i.e. Z, using this expression for V.
The electric potential on the axis of a uniform ring of charge density A (shown in Figure 3) is given by 1 V 4TE0 VR? + Z? where Q is the total charge on the ring, Ris the radius of the ring, and Z is the distance along the axis from the center of the ring as shown in Figure 3. P R Figure 3: A ring of charge density A used in question A4 a) Derive an expression for the magnitude of the electric field on the axis of the ring i.e. Z, using this expression for V.
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Transcribed Image Text:The electric potential on the axis of a uniform ring of charge density A (shown in Figure 3) is
given by
1
Q
V
4TE0 VR? + Z?
where Q is the total charge on the ring, Ris the radius of the ring, and Z is the distance along
the axis from the center of the ring as shown in Figure 3.
R
Figure 3: A ring of charge density A used in question A4
a)
Derive an expression for the magnitude of the electric field on the axis of the ring i.e. Z,
using this expression for V.
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