Math Problem Statement
Solve this parallel circut question
Solution
This is a parallel circuit problem, and we're given the following dataThis is a parallel circuit problem, and we're given the following
The goal is to determine the current flowing through .
Step-by-step Solution:
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Identify the voltage across the resistors: Since and are in parallel, the voltage across both resistors will be the same, which we can calculate using Ohm's Law:
Where:
Substituting values:
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Determine the current through : Now, using Ohm's Law again for , we can calculate the current through . The formula is:
Substituting the values of and :
Final Answer:
The current flowing through is .
Would you like further details on any part of this solution or have additional questions?
Here are 5 related questions:
- How would the current change if were doubled?
- What would be the total current if both resistances were equal?
- How can we calculate the total resistance in this parallel circuit?
- What is the relationship between voltage, current, and resistance in parallel circuits?
- How do parallel circuits behave compared to series circuits?
Tip:
In parallel circuits, the voltage across each branch is the same, but the current divides according to the resistance of each branch.
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Math Problem Analysis
Mathematical Concepts
Parallel Circuits
Ohm's Law
Current Division
Formulas
Ohm's Law: V = I * R
Current in a parallel resistor: I = V / R
Theorems
Ohm's Law
Parallel Circuit Behavior
Suitable Grade Level
Grades 10-12
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