A circuit is made of 25V Battery and four resistors as shown above: a) When the

Question

A circuit is made of 25V Battery and four resistors as shown above: a) When the switch is open, find a single equivalent Resistance for the R1,R2,R3 and R4 resistors, and use to find the current produced by the Battery b) Find the current flowing through each resistor if the switch is open c) If the switch is open what is the Voltage difference between points A and B d) If we now close the switch, what is the current flowing through each resistor e) What is the voltage difference between points A and B, when the switch is closed? Thank you for any help, it is really appreciated.

Explanation / Answer

Resistors R1 &R2   and R3 &R4   are connected in series combination            R'   = R1 + R2    = 4+10 = 14            R''   = R 3 + R4   = 12+10 = 22 These two combinations are connected in parallel combination      So the equivalent resistance of the circuit                   1 / R = 1 / R' + 1 / R''                           = 1 / 14 + 1 / 22                        R = 8.5    the resistances are connected in series combination current through each resistance is same                SO current through R1 and R 2 is same                    Current through R3 and R 4 is also same     Voltege acroos each resistance is same when they are connected in parallel combination.                Current through R1 = R2    = 25 / 14 = 1.785 A                Current through R3 = R4 =   25 / 22 = 1.1363 A          

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