the current in the circuit shown is 2.0 a. what is the value of r3? 10 ω 15 ω 20 ω 55 ω 30 v 2 ω 3 ω r3
the current in the circuit shown is 2.0 a. what is the value of r3? 10 ω 15 ω 20 ω 55 ω 30 v 2 ω 3 ω r3
Answer
Explanation:
Step1: Apply Ohm's law
Ohm's law is $V = IR$, where $V$ is voltage, $I$ is current, and $R$ is resistance. First, find the total resistance $R_{total}$ of the circuit. Given $V = 30V$ and $I=2.0A$. Using $R_{total}=\frac{V}{I}$, we have $R_{total}=\frac{30}{2}=15\Omega$.
Step2: Calculate $R_3$
The resistors are in series, so $R_{total}=R_1 + R_2+R_3$. Here $R_1 = 2\Omega$ and $R_2 = 3\Omega$. Then $R_3=R_{total}-R_1 - R_2$. Substituting the values, $R_3=15 - 2-3=10\Omega$.
Answer:
10 Ω