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…

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 $I = 2A$. 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 $R_{total}=2 + 3+R_3$. Then $R_3=R_{total}-(2 + 3)$. $R_3=15-(2 + 3)=10\Omega$

Answer:

10 Ω