Math Problem Statement
count the electricity A and resistance R2
Solution
The problem involves finding the current () in the circuit and the resistance . Here's how we can solve it using the provided information:
Given Data:
- Voltage source
- Resistor
- Voltage across ,
Step 1: Calculate the total current () in the circuit.
The resistors and are connected in series because the same current flows through both. The voltage drop across is calculated using Kirchhoff's Voltage Law (KVL), where the sum of voltage drops across resistors equals the total supplied voltage.
The total voltage is: Thus, the voltage across is:
Step 2: Use Ohm's Law to find the current.
Now, using Ohm's Law , we can calculate the current in the circuit. The current is the same through both resistors in a series circuit, so we use and :
Step 3: Find the resistance .
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Circuit Analysis
Ohm's Law
Kirchhoff's Voltage Law
Formulas
V = IR
V_total = V1 + V2
Theorems
Ohm's Law
Kirchhoff's Voltage Law
Suitable Grade Level
College
Related Recommendation
Calculate Current Through R2 in a Parallel-Series Circuit
Solve Electrical Circuit Analysis Problem with Ohm's Law and Kirchhoff's Laws
Solving for Resistance R2 in a Series Circuit Using Ohm's Law
Determine the Current in a Circuit with Two Voltage Sources
Current Through Resistor 2 in a Multi-Loop Circuit