Two 10-cm-diameter charged rings face each other, 25.0 cmcm apart. Both rings are charged to + 40.0 nCnC . What is the electric field strength
\at the midpoint between the two rings?
\at the center of the left ring?
\Two 10-cm-diameter charged rings face each other, 25.0 cmcm apart. Both rings are charged to + 40.0 nCnC . What is the electric field strength
\at the midpoint between the two rings?
\at the center of the left ring?
\Step 1:
\Diameter of the ring is
.
Charge on each ring is
.
Diastance between the rings is
m.
Radius of the ring is
m.
Electric field strength for a ring with radius
and distance
from the center of the ring is
.
Find the elcetric field strengthat mid point.
\Charge on mid point is resultant of both left and right rings on that point.
\Elcetric field strength Contribution of left ring:
\Diastance from the left ring t the mid point is
m.
Substitute corresponding values in the formula.
\

.
Since moid point is considered , the magntude of the right ring contribution is also same as the left ring and is in oppsit direction.
\
.

(ii)
\Find the field strength at the center of the left ring.
\Contribution of left ring:
\Diastance from the left ring to that point itself is zero.
\\

Contribution of right ring:
\Diastance from the right ring to center of the left ring is
m.
Substitute corresponding values in the formula.
\
.

\
Therefore field strength at the center of the left ring is
.
\
\