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What is the current through the resistor?

Ask by Campos Reyes. in Saudi Arabia
Nov 04,2024

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The current through the resistor is amperes, where is the voltage across the resistor.

Solución

To find the current through the resistor, we need to know the voltage across it.
Let’s assume the voltage across the resistor is volts.
The current through the resistor can be calculated using Ohm’s Law, which states that the current through a conductor is directly proportional to the voltage across it and inversely proportional to the resistance of the conductor.
The formula for Ohm’s Law is:
Where:
  • is the current in amperes (A),
  • is the voltage in volts (V),
  • is the resistance in ohms ( ).
Given that the resistance of the resistor is , we can substitute the values into the formula to find the current through the resistor.
Simplify the expression by following steps:
  • step0: Solution:

    The current through the resistor is amperes, where is the voltage across the resistor.

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Bonus Knowledge

To determine the current through the resistor, we would typically need to know the total voltage applied to the circuit and how the resistors are arranged (series or parallel). Let’s say you have a simple circuit with a voltage source connected in series with the resistor. You can apply Ohm’s Law, which states , where is the current and is the resistance. Rearranging gives us . For example, if the voltage is 9 volts, the current through the resistor would be .
Now, if the configuration involves multiple resistors, like a parallel circuit, you would need to calculate the equivalent resistance first before determining the current through the particular resistor. Remember, the voltage across resistors in parallel is the same, so you’d be using that common voltage to find the current through the resistor!

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