BasicB-005-005-002
You connect four 100-ohm resistors in parallel across a 12-volt battery. How many milliamperes of current are drawn from the battery?
C
Answer
Transmitters, receivers, and measurements
Type
A
240 mA
B
48 mA
C
480 mA
D
120 mA
Answer Notes
There are two effective ways to solve this parallel circuit problem. The first is to calculate the current for a single branch. Each 100-ohm resistor experiences the full 12 volts of the battery. Using Ohm's Law (I = E / R), the current through one resistor is 12 V / 100 ohms = 0.12 amperes, which is 120 milliamperes.
Because there are four identical branches in parallel, you simply sum these individual branch currents together. Multiplying 120 mA by 4 gives you the total current of 480 mA.
Alternatively, you could first find the total resistance. For four identical 100-ohm resistors in parallel, total resistance is 100 / 4 = 25 ohms. Using Ohm's Law for the whole circuit, 12 V / 25 ohms = 0.48 amperes, which easily converts to 480 mA.
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In a parallel circuit with a voltage source and several branch resistors, how is the total current related to the current in the branch resistors?
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Several resistors of various values are connected in parallel. How does the total resistance of the combination compare to the individual resistors?