The electrical current in a circuit with two resistors in series can be expressed as I=
V
R1+R2
, where V is the total voltage, R1 is the resistance of the first resistor, and R2 is the resistance of the second resistor.
Which shows the equation solved for the resistance of the second resistor, R2?

The given equation for electrical current \( I \) in a circuit with two resistors in series is:

\[
I = \frac{V}{R_1 + R_2}
\]

To solve for \( R_2 \), follow these steps:

### Step 1: Multiply both sides by \( R_1 + R_2 \)
\[
I(R_1 + R_2) = V
\]

### Step 2: Divide both sides by \( I \) to isolate \( R_1 + R_2 \)
\[
R_1 + R_2 = \frac{V}{I}
\]

### Step 3: Subtract \( R_1 \) from both sides to solve for \( R_2 \)
\[
R_2 = \frac{V}{I} - R_1
\]

Thus, the equation solved for \( R_2 \) is:

\[
R_2 = \frac{V}{I} - R_1
\]

Would you like a more detailed breakdown of these steps or any specific questions answered?

Here are 5 related questions to explore further:

1. How does changing \( R_1 \) or \( R_2 \) affect the total current in the circuit?
2. How can you calculate the total resistance in a parallel circuit?
3. What is the relationship between voltage, current, and resistance in Ohm's law?
4. How do you calculate the power dissipated by a resistor in a circuit?
5. What happens to the total resistance when resistors are connected in parallel vs. series?

**Tip:** Always ensure units are consistent when using formulas involving voltage, current, and resistance. For example, use ohms (\( \Omega \)) for resistance, volts (V) for voltage, and amperes (A) for current.

The electrical current in a circuit with two resistors in series can be expressed as I = V / (R1 + R2), where V is the total voltage, R1 is the resistance of the first resistor, and R2 is the resistance of the second resistor. Which shows the equation solved for the resistance of the second resistor, R2?

Learn how to solve for the resistance R2 in a series circuit using Ohm's Law. This step-by-step guide explains the relationship between voltage, current, and resistance in a circuit with two resistors in series. Suitable for high school students in Grades 9-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation