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Three parallel resistors

An electrical circuit consists of a set of three parallel resistors (A,B, and C)
which are connected in series with another set of two parallel resistors, (D and E).
These two sets of resistors are connected in a series loop to a battery.
Assume the following resistor values:

A=33 ohms
B= 100 ohms
C= 51 ohms
D= 22 ohms
E= 10 ohms

How much current could a 12 V battery drive through the circuit?

A. Less than 12 ohms?
B. Greater than 1 amp?
C. Less than 0.5 amps?
D. None of the above?

Solution Summary

A diagram of the three parallel resistors is provided in the solution. The solution is detailed by equations and step by step analysis. A written explanation is also provided.