Question

ABC is a right triangle right angled at B. The charge at B is +8C. Find the
work done to move +2C charge from A to C. AB= 4cm, BC= 3cm.

Answer 1

Given

BC=6 cm

AB=8 cm

We know that in right angle triangle is AC 2 =AB 2 +BC 2

AC 2 =8 2 +6 2

AC 2 =64+3 AC 2 =100

AC=10 cm

Now

Area of △AN= Area of △OAB+ Area of △OBC+ Area of △OCA

⇒ 21 ×BC×AB= 21 ×r×AB+ 21 ×AC×r+ 21 ×BC×r

⇒ 21 ×6×8=21 ×8×r+ 21 ×10×r+ 21 ×6×r

⇒24r=48

⇒24r=48

⇒r=2 cm

Thus the radius of the circle is 2 cm

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