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B) What is the direction of the electric field ~E1 at P1? 1) In the direction op

ID: 1704982 • Letter: B

Question

B) What is the direction of the electric field ~E1 at P1?

1) In the direction opposite to that of the dipole vector; e.g., ˆp

2) In the direction of the dipole vector; e.g.,ˆp.

3) In the direction of ˆr.

4) In a direction perpendicular to the dipole vector; e.g.,?ˆp.  

5) In a direction perpendicular to both the dipole vector ˆp and ˆr.

C) What is the magnitude of the electric field at P2? Answer in units of N/C.

D) What is the direction of the electric field ~E2 at P2?

1) In the direction opposite to that of the dipole vector; e.g., ˆp.

2) In the direction of the dipole vector; e.g., ˆp.

3) In a direction perpendicular to ˆr.

4) In a direction perpendicular to the dipole vector; e.g., ? ˆp.

5) In a direction perpendicular to both the dipole vector ˆp and ˆr.

Explanation / Answer

the electric field of a dipole at any point at any point is given
E = Kp(1+3cas^2)/r^3 --------------- (1)

where K = 1/4 and p = dipole moment(p= dq)

(a) the electric field at P1,

E1 = KP/r^3    (since = 90 degree)

= 9*10^9*1.5*3.1*10^-6/ (100)^3

E1 = 41.85*10^-3 N/C

the magnitude of the electric field at P1 is 41.85*10^-3 N/C .

(b)  the direction of the electric field ~E1 at P1:

Ans: 1) In the direction opposite to that of the dipole vector; e.g., ˆp

(c)  the magnitude of the electric field at P2,

E2 = 2KP/r^3    (since = 0 degree)

E2 = 83.7*10^-3 N/C

(d) the direction of the electric field ~E2 at P2:

Ans: 2) In the direction of the dipole vector; e.g., ˆp.