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Physics Chapter 30: Inductance, Energy, and Circuits

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  • What is the letter used to represent self-inductance?
    The letter L represents self-inductance.
  • What is the SI unit of self-inductance?
    Self-inductance is measured in henry (H), which is equivalent to Vs/A.
  • What letter represents mutual inductance?
    Mutual inductance is represented by the letter M.
  • What is the SI unit of mutual inductance?
    Mutual inductance is measured in henry (H).
  • What letter represents electric current?
    Electric current is represented by i or I.
  • What is the SI unit of electric current?
    Electric current is measured in amperes (A).
  • What letter represents energy in physics equations?
    Energy is represented by the letter U.
  • What is the SI unit of energy?
    Energy is measured in joules (J).
  • What symbol represents the time constant in circuits?
    The time constant is represented by the Greek letter Ļ„ (tau).
  • What is the SI unit of the time constant?
    The time constant is measured in seconds (s).
  • Write the equation that defines the self-inductance of an inductor.
    The self-inductance is defined by \(E = -L \frac{di}{dt}\).
  • Write the equation for the energy stored in an inductor.
    Energy stored in an inductor is given by \(U = \frac{1}{2} L I^2\).
  • Write the equation for the energy density of an electric field.
    Energy density of an electric field is \(u = \frac{1}{2} \varepsilon_0 E^2\).
  • Write the equation for the energy density of a magnetic field.
    Energy density of a magnetic field is \(u = \frac{B^2}{2 \mu_0}\).
  • Write the relationship between primary and secondary voltages in a transformer.
    The voltage relationship is \(\frac{V_1}{V_2} = \frac{N_1}{N_2}\).
  • Write the relationship between primary and secondary currents in a transformer.
    The current relationship is \(\frac{I_1}{I_2} = \frac{N_2}{N_1}\).
  • Write the power relationship in a transformer.
    Power conservation is \(P_1 = P_2 \Rightarrow V_1 I_1 = V_2 I_2\).
  • Write the equation for current in an RL circuit when power is turned on.
    Current when power is on: \(i_t = I_0 (1 - e^{-t/\tau})\).
  • Write the equation for current in an RL circuit when power is turned off.
    Current when power is off: \(i_t = I_0 e^{-t/\tau}\).
  • Write the equation for the resonance frequency of an LC circuit.
    Resonance frequency is \(\omega = \frac{1}{\sqrt{LC}}\).