When two or more resistors are connected in parallel to a ba

When two or more resistors are connected in parallel to a battery A) the voltage across each resistor is the same. B) the total current flowing from the battery equals the sum of the currents flowing through each resistor. C) the equivalent resistance of the combination is less than the resistance of any one of the resistors D) all of the other choices are true

Solution

All options are true.

If the resistances R1 and R2 are connected in parallel and the equivalent resistance R then the relation between them is

(1/R) =(1/R1) +(1/R2)

        = (R2+R1) /(R1R2)

Therefore R = (R1R2)/(R1+R2)

The value of R is less than both R1 and R2.