Characteristics of Alternating Currents (Cambridge (CIE) A Level Physics): Flashcards

Exam code: 9702

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  • Define alternating current.

    An alternating current periodically varies from positive to negative and changes its magnitude continuously with time, with its direction reversing every half-cycle.

  • Define peak current (I0).

    Peak current is the maximum value of the alternating current.

  • What equation gives the value of an alternating current I at any time t?

    I = I_0 \sin(\omega t)

  • How is angular frequency ω related to time period T and frequency f?

    \omega = \frac{2\pi}{T} = 2\pi f

  • The variation of alternating current or voltage with time can be described as a .......... curve.

    The variation of alternating current or voltage with time can be described as a sinusoidal curve.

  • True or False?

    Mains electricity is supplied as direct current.

    False.

    Mains electricity is supplied as alternating current — this is the type of current produced by power stations and supplied to sockets.

  • How do electrons in a wire carrying alternating current move?

    They move back and forth with simple harmonic motion.

  • Define the r.m.s. value of an alternating current.

    The value of a constant (direct) current that produces the same power in a resistor as the alternating current.

  • What is the equation for r.m.s. current Ir.m.s in terms of peak current I0?

    I_{r.m.s} = \frac{I_0}{\sqrt{2}}

  • What is the equation for r.m.s. voltage Vr.m.s in terms of peak voltage V0?

    V_{r.m.s} = \frac{V_0}{\sqrt{2}}

  • The r.m.s. current is equal to 0.707 × I0, which is about .......... % of the peak current.

    The r.m.s. current is equal to 0.707 × I0, which is about 70 % of the peak current.

  • True or False?

    A direct voltage produces a different amount of heating in a resistor compared to an alternating voltage of the same r.m.s. value.

    False.

    The r.m.s. value is defined so that it delivers the same average power (heating effect) in a resistor as an equivalent steady direct current or voltage.

  • Define a resistive load.

    A resistive load is an electrical component with resistance, for example a lamp.

  • How does the mean power delivered to a resistive load compare to the peak power, for a sinusoidal alternating supply?

    P_{mean} = \frac{P_{peak}}{2}

    The mean power is half the peak (maximum) power.

  • What is the equation for mean power in terms of r.m.s. current?

    P_{mean} = (I_{r.m.s})^2 R

  • What is the equation for peak power in terms of peak current I0?

    P_{peak} = (I_0)^2 R

  • For direct current and voltage, power can be written as P = IV = I2R = ..........

    For direct current and voltage, power can be written as P = IV = I2R = \frac{V^2}{R}

  • True or False?

    For an alternating supply, the power delivered to a resistor is constant with time.

    False.

    The power varies constantly with time, since current and voltage are constantly varying; the mean power is used as an average measure over a full cycle.

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