the current in the circuit shown is 2.0 a. what is the value of $r_3$? 10 ω 15 ω 20 ω 55 ω 30 v 2 ω 3 ω $r_3$
the current in the circuit shown is 2.0 a. what is the value of $r_3$? 10 ω 15 ω 20 ω 55 ω 30 v 2 ω 3 ω $r_3$
Answer
Explanation:
Step1: Apply Ohm's law
According to Ohm's law $V = IR_{total}$, where $V = 30V$ and $I=2.0A$. First, find the total resistance $R_{total}=\frac{V}{I}$. $R_{total}=\frac{30}{2}=15\Omega$
Step2: Calculate $R_3$
The resistors are in series, so $R_{total}=2 + 3+R_3$. We know $R_{total}=15\Omega$, then $R_3=R_{total}-(2 + 3)$. $R_3=15-(2 + 3)=10\Omega$
Answer:
10 Ω