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Answer the following with True or False The total charge on the outer surface of

ID: 1532596 • Letter: A

Question

Answer the following with True or False

The total charge on the outer surface of the large shell is +2q.

The total charge on the inner surface of the large shell is -6q

The radial component of the electric field in the region r < a is given by -2q/(40r2).

The radial component of the electric field in the region r > d is given by +2q/(40r2).

The radial component of the electric field in the region c < r < d is given by +4q/(40r2).

The total charge on the outer surface of the small shell is -6q.

A Small Conducting spherical shell with inner radius a and outer radius b is concentric with a larger Conducting spherical shell with inner radius C and outer radius d The inner sh Net content recource charge of -2q and the outer shell has a total charge of +4q.

Explanation / Answer

charge on inner surface of smaller shell=0

charge on outer surface of smaller shell=charge on the smaller shell=-2q

charge on inner surface of larger shell=-(-2*q)=2*q

charge on outer surface of larger shell=4*q-2*q=2*q

so answers are :

Q1. The total charge on the outer surface of the large shell is +2q.

the statement is TRUE.

Q2.The total charge on the inner surface of the large shell is -6q

the statement is FALSE.

Q3.The radial component of the electric field in the region r < a is given by -2q/(40r2).

the statement is FALSE.

reason: as per gauss' law, total electric flux passing thorugh a surface is equal to charge enclosed.

but for r<a, charge enclosed=0

hence electric field is 0.

Q4.The radial component of the electric field in the region r > d is given by +2q/(40r2)

the statement is TRUE.

total charge enclosed =-2*q+4*q=2*q

Q5.The radial component of the electric field in the region c < r < d is given by +4q/(40r2).

the statement is FALSE.

as total charge enclosed=-2*q+2*q=0

Q6. The total charge on the outer surface of the small shell is -6q.

the statement is FALSE.

Q7.The total charge on the inner surface of the small shell is -2q.

the statement is FALSE.

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