Understanding Ohm's Law

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Questions and Answers

In a circuit with a constant voltage, how does increasing the resistance affect the current?

  • Current remains constant.
  • Current increases exponentially.
  • Current decreases linearly. (correct)
  • Current increases linearly.

The resistance of a wire is solely determined by the material it's made of and is unaffected by its length or cross-sectional area.

False (B)

A parallel circuit has two resistors, $R_1$ and $R_2$, with a voltage $V$ applied across them. If $R_1 = 2R_2$, what is the ratio of the current through $R_1$ to the current through $R_2$?

1/2

In a series circuit, the total resistance is the ________ of individual resistances, while in a parallel circuit, the reciprocal of the total resistance is the sum of the ________ of individual resistances.

<p>sum, reciprocals</p> Signup and view all the answers

Match each scenario with the correct application of Ohm's Law:

<p>Calculating the voltage drop across a resistor given the current and resistance. = $V = I \times R$ Determining the current flowing through a circuit with a known voltage source and total resistance. = $I = V / R$ Finding the resistance needed to limit the current to a specific value with a given voltage source. = $R = V / I$</p> Signup and view all the answers

A circuit contains two resistors in series: a 100-ohm resistor and an unknown resistor. If the voltage drop across the 100-ohm resistor is 5V and the total voltage supplied to the circuit is 15V, what is the value of the unknown resistor?

<p>200 ohms (A)</p> Signup and view all the answers

If the voltage in a circuit is doubled and the resistance is halved, the current remains the same.

<p>False (B)</p> Signup and view all the answers

A circuit has a voltage source of $V$ volts and a resistor of $R$ ohms. If a second identical resistor is added in parallel, by what factor does the total current from the source increase?

<p>2</p> Signup and view all the answers

Ohm's Law is applicable only for ________ conductors, where the resistance remains constant regardless of the voltage applied.

<p>ohmic</p> Signup and view all the answers

A resistor has a color code of Brown, Black, Red, and Gold. According to the color code, what is its resistance value and tolerance?

<p>1000 ohms, 5% tolerance (D)</p> Signup and view all the answers

Flashcards

What is Ohm's Law?

The relationship between voltage, current, and resistance in a circuit.

Unit of Voltage

Voltage is measured in volts (V).

Unit of Resistance

Resistance is measured in ohms (Ω).

Unit of Current

Current is measured in amperes (amps or A).

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How to Calculate Voltage

Voltage equals current multiplied by resistance (V = I x R).

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How to Calculate Current

Current equals voltage divided by resistance (I = V / R).

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How to Calculate Resistance

Resistance equals voltage divided by current (R = V / I).

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Example: 12V and 250Ω, find current

If a circuit has a 12V battery and a 250Ω resistor, the current is 0.048 amps (or 48 milliamps).

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Study Notes

Ohm's Law Overview

  • Ohm's Law defines the relationship between current, voltage, and resistance in electrical circuits
  • Knowing two of these values allows calculating the third

Electrical Units and Symbols

  • Voltage is represented by V and measured in volts
  • Resistance is represented by R (or the omega symbol: Ω) and measured in ohms
  • Current is represented by I and measured in amps

Ohm's Law Triangle

  • The Ohm's Law triangle visually represents the relationships: voltage, current, and resistance
  • To find voltage (V): V = I x R (Current multiplied by Resistance)
  • To find current (I): I = V / R (Voltage divided by Resistance)
  • To find resistance (R): R = V / I (Voltage divided by Current)

Example Calculation

  • A circuit has a 12-volt battery connected to a 250-ohm resistor
  • To calculate current (I): I = 12V / 250Ω = 0.048 amps, or 48 milliamps
  • Wire resistance is ignored, but it contributes to overall resistance

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