Math, asked by Sandeep6236, 1 year ago

Two parallel plates capacitor are given equal and opposite charges

Answers

Answered by prabhatiit2005
0

Draw the two chords. Let O be the center of the circle. Draw OC

perpendicular to both chords. That divides the two chords in half.

So CD = 10 and AB = 14. Draw radii OA and OD, both equal to radius r.

We are given that BC = 5, the distance between the two chords. Let

OB = x.


We use the Pythagorean theorem on right triangle ABO


AO² = AB² + OB²

r² = 14² + x²


We use the Pythagorean theorem on right triangle DCO


DO² = CD² + OC²


We see that OC = OB+BC = x+5, so


r² = 10² + (x+5)²


So we have a system of two equations:


r² = 14² + x²

r² = 10² + (x+5)²


Since both left sides equal r², set the right sides

equal to each other.


14² + x² = 10² + (x+5)²

196 + x² = 100 + x² + 10x + 25

196 = 125 + 10x

71 = 10x

7.1 = x


r² = 14² + x²

r² = 196 + (7.1)²

r² = 196 + 50.41

r² = 246.41

r = √246.41

r = 15.69745202 cm


Mark it as brainliest answer....

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