Math Problem Statement
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?
Solution
The given equation for electrical current in a circuit with two resistors in series is:
To solve for , follow these steps:
Step 1: Multiply both sides by
Step 2: Divide both sides by to isolate
Step 3: Subtract from both sides to solve for
Thus, the equation solved for is:
Would you like a more detailed breakdown of these steps or any specific questions answered?
Here are 5 related questions to explore further:
- How does changing or affect the total current in the circuit?
- How can you calculate the total resistance in a parallel circuit?
- What is the relationship between voltage, current, and resistance in Ohm's law?
- How do you calculate the power dissipated by a resistor in a circuit?
- 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 () for resistance, volts (V) for voltage, and amperes (A) for current.
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Math Problem Analysis
Mathematical Concepts
Algebra
Electrical Circuits
Ohm's Law
Formulas
I = V / (R1 + R2)
R2 = V / I - R1
Theorems
Ohm's Law
Suitable Grade Level
Grades 9-12
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