Math Problem Statement
A circuit has three resistors connected in series, with a total current of 1.2 amps. What is the circuit's total voltage? (R1 = 300 Ω, R2 = 90 Ω, R3 = 150 Ω)
Solution
To find the total voltage of the circuit, we can use Ohm's Law:
Where:
- is the voltage across the entire circuit,
- is the total current,
- is the total resistance in the circuit.
Since the resistors are connected in series, the total resistance is the sum of the individual resistances:
Substitute the given values:
Now, using the total current of 1.2 amps:
Thus, the total voltage across the circuit is 648 volts.
Would you like more details on how this was calculated or have any follow-up questions?
Here are five related questions:
- How does the total resistance in a series circuit change if more resistors are added?
- What would happen to the total current if the voltage remained the same but the total resistance increased?
- How do you calculate voltage drops across individual resistors in a series circuit?
- How does Ohm's Law apply in parallel circuits compared to series circuits?
- How would the total current change if the resistances of the resistors were reduced by half?
Tip: In a series circuit, the current is the same through all resistors, but the voltage divides according to the resistance values.
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Math Problem Analysis
Mathematical Concepts
Ohm's Law
Series Circuit
Resistor Calculation
Formulas
V = I × R_total
R_total = R1 + R2 + R3
Theorems
Ohm's Law
Suitable Grade Level
Grades 9-12
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