Question

Two geometrically identical cycle wheels of a bicycle moving due east have different number of spokes connected from center to rim. Rear wheel has $20$ spokes and the front wheel has only $10$ (the rim and the spokes have negligible resistance). A resistance $R$ is connected between center and rim in each wheel. The current in $R$ will be :

• A. double in rear wheel as compared to front wheel
• B. four times in rear wheel as compared to front wheel
• C. zero in both these wheels
• D. equal in both these wheels.

Answer 1

The correct option is D

equal in both these wheels.

Each spoke is equivalent to a cell of same emf and connected in parallel. Hence the emf is same value of current will be same in resistance connected to both the wheels.