Question

the electric potential energy of a system of two charges given by​

Answer 1

Answer:

Potential energy of a system of two charges in an external field - example. Example: Electric field in a region is given as E =2i^. A charge of 1 C is placed at x=1m and a charge of 2 C is placed at x=2 m.

Answer 2

POTENTIAL ENERGY OF A SYSTEM OF TWO CHARGES

EXAMPLE :

Electric field in a region is given as

E

=2

i

^

. A charge of 1 C is placed at x=1m and a charge of 2 C is placed at x=2 m. Find the total energy of the system of charges.

Assume potential at x=0 is zero.

Solution:

V=−∫

E

.

d

x=−2x

At x=1,V

1

=−2

At x=2,V

2

=−4

Potential energy of system, U=

4πε

o

d

q

1

q

2

+q

1

V

1

+q

2

V

2

Substituting values, U=

4πε

o

2

−10