Electric Circuits and Ohm's Law

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Questions and Answers

A wire's resistance is found to increase when both its length and temperature increase. How does this affect the wire's resistivity?

  • Resistivity remains constant.
  • Resistivity increases. (correct)
  • Resistivity decreases.
  • The effect on resistivity cannot be determined.

A circuit contains a thermistor. What happens to the current in the circuit if the temperature increases, assuming the voltage remains constant?

  • The current decreases.
  • The current increases. (correct)
  • The current remains constant.
  • The current fluctuates erratically.

A light-dependent resistor (LDR) is used in a circuit. How does increasing light intensity affect the power dissipated by the LDR, assuming the voltage across it remains constant?

  • Power fluctuates unpredictably.
  • Power remains the same.
  • Power decreases. (correct)
  • Power increases.

Which of the following scenarios would result in a component being classified as a 'non-Ohmic device'?

<p>The component's resistance changes as current increases. (D)</p> Signup and view all the answers

A battery with a constant EMF is connected to a circuit. If the total charge moved from one terminal to another increases, what happens to the work done by the battery?

<p>The work done increases. (A)</p> Signup and view all the answers

A circuit contains a 9V battery with an internal resistance of 0.5 ohms connected to a 4 ohm external resistor. What is the terminal potential difference across the battery?

<p>8.0 V (C)</p> Signup and view all the answers

What is the primary purpose of a potential divider circuit?

<p>To supply any voltage lower than the source voltage. (C)</p> Signup and view all the answers

If three resistors with resistances of 2 ohms, 4 ohms, and 6 ohms are connected in parallel, what is the equivalent resistance of the combination?

<p>1.09 ohms (A)</p> Signup and view all the answers

In a circuit with two resistors in series, $R_1$ and $R_2$, if the voltage across $R_1$ is 4V and the voltage across $R_2$ is 8V, and the current through $R_1$ is 2A, what is the resistance of $R_2$?

<p>4 ohms (A)</p> Signup and view all the answers

An ideal ammeter and an ideal voltmeter are placed in a circuit to measure the current through a resistor and the voltage across it, respectively. How should these meters be connected in the circuit to obtain accurate measurements?

<p>Ammeter in series, voltmeter in parallel. (A)</p> Signup and view all the answers

Flashcards

Potential Difference

The work done per unit charge to move a charge.

Electric Current

The rate of flow of charge through a conductor.

Electric Resistance

Potential difference across a conductor divided by current.

Ohm's Law

Current is proportional to potential difference at constant temperature.

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Electromotive Force (EMF)

Work done per unit charge moving across battery terminals.

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Direction of Electron Flow

Electrons flow from negative to positive terminals in a circuit.

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Current in Series Circuit

Current remains the same through all components in a series circuit.

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Current in Parallel Circuit

Current divides across branches in a parallel circuit; total current is the sum of the branches.

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Terminal Potential Difference

The voltage across the terminals of a source; less than emf when current flows due to internal resistance.

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Potential Divider

A circuit configuration using resistors to obtain a desired voltage lower than the supply voltage.

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Study Notes

Current and Circuits

  • Potential Difference (V): Work done per unit charge to move a charge from one point to another. Unit: volts (V).
  • Electric Current (I): Rate of flow of charge. Unit: amperes (A). Defined as the flow of 1 coulomb of charge per second.
  • Electric Resistance (R): Potential difference across a component divided by the current through it. Unit: ohms (Ω).
  • Ohm's Law: At a constant temperature, current through a conductor is directly proportional to the potential difference across it. (I ∝ V)
  • Factors Affecting Resistance:
    • Nature of the material: Materials with many free electrons have lower resistance.
    • Length of the conductor: Longer conductors have higher resistance.
    • Cross-sectional area of the conductor: Larger areas result in lower resistance.
    • Temperature: Increasing temperature usually increases resistance in conductors.

Voltage, Power, and EMF

  • Voltage: Potential difference across a conductor.
  • Electric Power (P): Energy per unit time dissipated in a conductor or rate of doing work. Unit: watts (W). Calculated as P = IV.
  • Electromotive Force (EMF, E): Work done per unit charge in moving charge from one terminal of a battery to the other. Unit: volts (V).

Resistors in Electric Circuits

  • Resistor Symbols: Various resistor symbols are used in circuit diagrams.
  • Resistors in Series: Total resistance is the sum of individual resistances (RT = R1 + R2 + ...). Current is same throughout.
  • Resistors in Parallel: Reciprocal of total resistance is the sum of the reciprocals of individual resistances (1/RT = 1/R1 + 1/R2 + ...). Voltage is same across each resistor.

Terminal Potential Difference and Potential Divider

  • Terminal Potential Difference: Voltage across a component when current flows through it. Less than the EMF when there is internal resistance.
  • Internal Resistance (r): Resistance within the cell/battery itself due to the chemical reactions; affects terminal potential difference. V=E-Ir
  • Potential Divider: A circuit with multiple resistors used to tap off certain voltages based on resistances and source voltage. Allows various voltage outputs less than the source voltage.

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