Solution Found!
Three 6-ohm resistors are arranged in a triangle as shown.
Chapter 15, Problem 121TAD(choose chapter or problem)
Three \(6\)-ohm resistors are arranged in a triangle as shown. A voltage source of \(12 \mathrm{~V}\) is impressed across one of the resistors.
(a) How much current is in that resistor?
(b) How much current is in each of the other two resistors?
(c) How much current is in the voltage source?
(d) What is the equivalent resistance of the circuit (what single resistor connected to the voltage source could replace the three resistors)?
Questions & Answers
QUESTION:
Three \(6\)-ohm resistors are arranged in a triangle as shown. A voltage source of \(12 \mathrm{~V}\) is impressed across one of the resistors.
(a) How much current is in that resistor?
(b) How much current is in each of the other two resistors?
(c) How much current is in the voltage source?
(d) What is the equivalent resistance of the circuit (what single resistor connected to the voltage source could replace the three resistors)?
ANSWER:
Step 1 of 4
The circuit diagram is as follows:
(a) Ohm's law states that:
\(\begin{array}{l}
V=I R \\
12 V=I \times 6 \\
I=\frac{12}{6}=2 A
\end{array}\)
The current in \(6 \Omega\) 2 Amperes