A letter ′ A ′ is constructed of a uniform wire with resistance 1.0Ω per cm , The sides of the letter are 20 cm and the cross piece in the middle is 10 cm long. The apex angle is 60 . The resistance b

Question

A letter ′ A ′ is constructed of a uniform wire with resistance 1.0Ω per cm , The sides of the letter are 20 cm and the cross piece in the middle is 10 cm long. The apex angle is 60 . The resistance between the ends of the legs is close to:

TestHub · Accepted Answer

For ADE R ′ 1 ​ = 2 x 1 ​ + 10 1 ​ or R ′ = 10 + 2 x 20 x ​ R BC ​ = 10 + 2 x 20 x ​ + 20 − x + 20 − x or 10 + 2 x 20 x ​ + 40 = 2 x Solving we get x = 10Ω Putting the value of x = 10Ω in equation (i) We get R BC ​ ​ = 10 + 2 × 10 20 × 10 ​ + 20 − 10 + 20 − 10 = 3 80 ​ = 26.7Ω ​

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