3. Cars on the Katoomba Scenic Railway are pulled along bywinding cables, and at

Question

3. Cars on the Katoomba Scenic Railway are pulled along bywinding cables, and at one point, they move along a 310m span thatmakes an angle of 51deg angle with the horizontal. A 310m steelcable that is 4cm thick would have an estimated resistance of2.48x10-2. An equivalent resistance of6.00x10-3 can be obtained if two resistors, onehaving the same resistance as the steel cable, are connected inparallel. Find the resistance of the second resistor. 3. Cars on the Katoomba Scenic Railway are pulled along bywinding cables, and at one point, they move along a 310m span thatmakes an angle of 51deg angle with the horizontal. A 310m steelcable that is 4cm thick would have an estimated resistance of2.48x10-2. An equivalent resistance of6.00x10-3 can be obtained if two resistors, onehaving the same resistance as the steel cable, are connected inparallel. Find the resistance of the second resistor.

Explanation / Answer

   Equivalent resistance in parallel is givenby    1/R   =   1/R1   +   1/R2    1/6.00 *10-3   =   1/2.48 *10-2   +   1/R2    1/R2   =   166.67   -   40.32   =   126.35    R2   =   1/126.35   =   7.91* 10-3       1/R2   =   166.67   -   40.32   =   126.35    R2   =   1/126.35   =   7.91* 10-3   

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