The two very long line charges shown in the figure (the line charges extend equa

Question

The two very long line charges shown in the figure (the line charges extend equally long distances up and down out of the picture) have the values:

1 = 3.8 nC/m, 2 = 1.1 nC/m

What is the direction of the total electric field due to these two line charges at the point (x = 0.7 L, y = 0)?

Directly Down

Directly Up

Directly to the Left

Down and to the Right

Up and to the Left

Directly to the Right

Up and to the Right

A) Down and to the left B)

Directly Down

C)

Directly Up

D)

Directly to the Left

E)

Down and to the Right

F)

Up and to the Left

G)

Directly to the Right

H)

Up and to the Right

Explanation / Answer

E = /(2r)

-----------------------------------

E = E1 + E2

= 1/(2r1) - 2/(2r2)

= 3.8*10^-9/(2*(0.7L)) - 1.1*10^-9/(2*(0.3L))

= 1.76 *10^-9/(2L)

E is positive >>>> E is directly to the Right

The correct answer is: G)directly to the Right

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