MULTIPLE CHOICE 26-1 What Is a Field? 26-3 The Electric Field of a Point Charge

Question

MULTIPLE CHOICE 26-1 What Is a Field? 26-3 The Electric Field of a Point Charge F Gapoint charge + is located at theCharge 26-2 The Electric Field The electric field is defined in Eq. 26-3 in terms of qo, a small positive charge. If instead the definition were in terms of a small negative charge of the same magnitude, then compared point charge +q is located at the origin, and a point charge + 29 is located at x = a. where a is positive. (a) Which of the following statements is true? termsof%,asmall (A) Close to the charges, the electric field can be zero off (B) Close to the charges, the magnitude of the electric field (C) The electric field can be zero somewhere between the (D) The electric field can be zero on the x axis at finite (b) In which of the following regions might there exist a the x axis. can be a maximum off the x axis. charges. points not between the charges. to the original field, the newly defined electric field (A) would point in the same direction, and have the same (B) would point in the opposite direction, but have the (C) would point in the same direction, but have a different (D) would point in the opposite direction, and have a dif- magnitude. same magnitude. magnitude ferent magnitude. point where the electric field has zero magnitude?

Explanation / Answer

1)

as the electric field due to negative charge is oopostie to the electric field due to positive charge.

and the magnitude of electric field is given as

E =k * q/r^2

hence , the correct option is

B) would point in oposite direction but have the same magnitude

2)

for the true statement

B) close of charge , electric field can be maximum

C) the electric field can be zero somewhere between the charges

b) for the zero electric field

k * q/(x)^2 = k * 2q/(x - a)^2

1/x^2 = 2/(x - a)^2

solving for x

x = 0.412 * a

the point between the charges is 0.412 * a

option B)

3)

for the true statements

A) close to the charges , the electric field can be zero

B)

close to charge the magnitude of field can be maximum

D) the electric field can be zero not between the chares

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