You are given two resistors, an ammeter, a voltmeter, and a voltage source. By c

Question

You are given two resistors, an ammeter, a voltmeter, and a voltage source. By connecting each resistor singly to the voltage source and taking voltage difference and current measurements on the single resistor, you find the following data for each resistor:
Resistor Voltage (V) Current (mA)
1 3.89 26.11
2 4.17 5.09

Using this data, first find the resistance of each resistor and then calculate the following:
(a) The current that would pass through the network of resistors if they were arranged in series and connected to an 7.73 V voltage source.


(b) The current through the circuit if the resistors were arranged in parallel and connected to the same 7.73 V source from part (a).

Explanation / Answer

Resistor Voltage (V) Current (mA) 1 3.89 26.11 2 4.17 5.09 Using this data, first find the resistance of each resistor R1 = V/I = 3.89/26.11 = 0.148985 = 0.149 ohm R2 = 4.17 /5.09 = 0.81925 = 0.819 ohm --------------------------------------- (a) The current that would pass through the network of resistors if they were arranged in series and connected to an 7.73 V voltage source. R = R1 + R2 = 0.148985 + 0.81925 = 0.968235 ohm i = V/R = 7.73/0.968235 = 7.98 A -------------------------------------------- (b) The current through the circuit if the resistors were arranged in parallel and connected to the same 7.73 V source from part (a). R = (0.148985 * 0.81925)/(0.148985 + 0.81925) = 0.12606 i = V/R = 7.73/0.12606 = 61.3 A

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