Part C When can an electric field be measured at any point from the force on a s

Question

Part C

When can an electric field be measured at any point from the force on a stationary test charge at that point?

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When can an electric field be measured at any point from the force on a stationary test charge at that point?

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Part D

When can an electric field that does not vary in time arise?

When can an electric field that does not vary in time arise?

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Part E

When will the integral E dl around any closed loop be zero?

When will the integral oint ec{E}cdot dec{l} around any closed loop be zero?

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Here is a simple quantitative problem that uses Faraday's law.

Part F

A cylindrical iron rod of infinite length with cross-sectional area A is oriented with its axis of symmetry coincident with the z axis of a cylindrical coordinate system as shown in the figure. It has a magnetic field inside that varies according to Bz(t)=B0+B1t . Find the theta component E(R,t) of the electric field at distance R from the z axis, where R is larger than the radius of the rod. (Figure 2)

Express your answer in terms of A , B0 , B1 , R , and any needed constants such as 0 , , and 0 .

Hints

only if the field is generated by the coulomb field of static charges only if the field is generated by a changing magnetic field no matter how the field is generated

Explanation / Answer

D.only if field generated by static coulomb charge

E.in either two case as E.dl sum is zero for all closed loop.

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