A letter 'A' is made with uniform wires of resistance 1 ohm The sides of the letter are each 20 - Physics - Current Electricity

Question

A letter 'A' is made with uniform wires of resistance 1 ohm The
sides of the letter are each 20 cm long & the middle piece is
10 cm If the apex angle is 60 degree find the resistance of the
letter between the ends of its legs

Vijay Yadav · Accepted Answer

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"https://s3mn%20mnimgs%20com/img/shared/discuss_editlive/2143775/2012_06_11_09_35_59/image4855284657059439603%20jpg">
Current will pass through the loop BDECB
Net resistance = R (of BD) + R (of DE) + R (of DC)
= 3R (R is the resistance of each section )
Equivalent resistance has length of wire 30cm
Resistance of wire 1 ohm has length of 50cm ((20+20+10) cm)
Resistance of 30cm wire = (1/50)*30 = 0 6 ohm

A letter 'A' is made with uniform wires of resistance 1 ohm.The sides of the letter are each 20 cm long & the middle piece is 10 cm.If the apex angle is 60 degree find the resistance of the letter between the ends of its legs.