Calculate Electric Field from a Coiled Wire and Loop

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In summary, the problem involves a coil connected to a power supply and a single loop of wire located near the coil. The radius of the loop is 3 cm. At a later time t2, the current in the coil begins to decrease. The question asks for the magnitude of the electric field at location P, both while the loop is still present (part g) and after the loop is removed (part h). The emf is found to be 6.504e-4 and the electric field is deduced to be the same in both cases.
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smahapatra3
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Homework Statement



A coil of wire is connected to a power supply, and a current runs in the coil. A single loop of wire is located near the coil, with its axis on the same line as the axis of the coil. The radius of the loop is 3 cm.

http://www.webassign.net/mi3/23.P.028.alt01-coil_loop.jpg

At a later time t2, the current in the coil begins to decrease.

(g) What is the magnitude of the electric field at location P, which is inside the wire?
(h) Now the wire loop is removed. Everything else remains as it was at time t2; the magnetic field is still changing at the same rate. What is the magnitude of the electric field at location P?

Homework Equations



emf = -d(phimag)/d(t)

The Attempt at a Solution



I found the emf to be 6.504e-4. I have no idea how to do g, but I thought h should be 0 since the loop is removed, but that was wrong.
 
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  • #2
emf = E*2*pi*r so solve for E. I'm stuck on the last part as well. I thought the electric field would be zero if the loop was removed
 
  • #3
h) is fairly simple, it tells you that "Everything else remains as it was at time t2; the magnetic field is still changing at the same rate. What is the magnitude of the electric field at location P?" Therefore you MUST deduce that NOTHING changes at all and the electric field will be exactly the same as in part g. Hope this helps. :D
 

FAQ: Calculate Electric Field from a Coiled Wire and Loop

How do I calculate the electric field from a coiled wire and loop?

To calculate the electric field from a coiled wire and loop, you can use the equation: E = kQ/r^2, where k is the Coulomb's constant, Q is the charge of the loop, and r is the distance from the loop to the point of interest. You will also need to take into account the number of turns in the coil and the radius of the loop.

What is the direction of the electric field from a coiled wire and loop?

The direction of the electric field from a coiled wire and loop will depend on the direction of the electric current in the wire. If the current is flowing clockwise, the electric field will point towards the center of the loop. If the current is flowing counterclockwise, the electric field will point away from the center of the loop.

How does the number of turns in the coil affect the electric field?

The number of turns in the coil will directly affect the strength of the magnetic field created by the loop. This, in turn, will affect the strength of the electric field. The more turns in the coil, the stronger the electric field will be.

Can the electric field from a coiled wire and loop be negative?

Yes, the electric field from a coiled wire and loop can be negative. This will occur when the charge on the loop is negative or when the direction of the electric current is reversed. The negative electric field indicates that the direction of the force on a positive test charge would be opposite to the direction of the electric field.

How does the distance from the loop affect the electric field?

The distance from the loop will have an inverse square relationship with the electric field. This means that as the distance increases, the electric field will decrease. This is because the further away from the loop a point is, the less influence it has on the electric field produced by the loop.

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