Math Problem Statement
A series circuit with three resistors (R1 = 30 Ω, R2 = 10 Ω, R3 = 60 Ω) has a power output of 900 Watts. How much current flows through the circuit?
Solution
To determine the current flowing through the circuit, we can use the power formula for electrical circuits:
Where:
- is the power (900 W),
- is the current (which we need to find),
- is the total resistance of the series circuit.
Step 1: Find the total resistance of the circuit
In a series circuit, the total resistance is the sum of the individual resistances:
Substitute the given values:
Step 2: Solve for the current
Now, rearrange the power formula to solve for :
Substitute the known values:
Final Answer:
The current flowing through the circuit is 3 A.
Would you like a more detailed explanation or help with other questions?
Here are some related questions:
- How does the power in a circuit change if the resistance is doubled?
- What happens to the total resistance in a parallel circuit?
- How would the current change if we added a resistor in parallel with ?
- Can you calculate the power output in a parallel circuit with the same resistors?
- How does Ohm’s Law relate to the calculation of current in series circuits?
Tip: In series circuits, the total resistance is always greater than the resistance of the largest resistor.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Ohm's Law
Power in Electrical Circuits
Series Circuits
Square Root Calculations
Formulas
P = I^2 * R_total
R_total = R1 + R2 + R3
I = sqrt(P / R_total)
Theorems
Ohm's Law
Suitable Grade Level
Grades 10-12
Related Recommendation
Calculating the Total Voltage in a Series Circuit with Three Resistors
Calculating Total Resistance in Series and Parallel Circuits with 3 Conductors
Voltage Calculation for a Series Circuit with 4Ω, 6Ω, and 10Ω Resistors
Calculating Total Resistance and Current in an Electric Circuit with Series and Parallel Resistors
Calculate Current in a Circuit with Resistors in Series or Parallel