Question

Three identical charges each of charge 2μC are placed at the vertices A,B and C of an equilateral triangle ABC of side 0.1m. Find the magnitude and resultant of electric field at the centre of the triangle. Also calculate the magnitude of resultant electric field if one of the charges is replaced by -2µC.​

Answer 1

Answer:

jLet the effective force (F) angle be at angle θ to F

2

We know Fcosθ=F

2

and Fsinθ=F

1

⇒tanθ=

F

2

F

1

⇒tanθ=

(4)

2

Kq

2

(3)

2

Kq

2

=

3

2

4

2

tanθ=

9

16

θ=tan

−1

(

9

16

)

Answer 2

Answer:

Correct option is

B

tan

−1

(

9

16

)

Let the effective force (F) angle be at angle θ to F

2

We know Fcosθ=F

2

and Fsinθ=F

1

⇒tanθ=

F

2

F

1

⇒tanθ=

(4)

2

Kq

2

(3)

2

Kq

2

=

3

2

4

2

tanθ=

9

16

θ=tan

−1

(

9

16

)

Explanation:

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