Question

1) Given the following circuit: 120 V 7V Assume the input ($V_i$) to the primary coil of the transformer above is a standard 60 Hz wall outlet that peaks at $t = 0$. Write the time-dependent expressions for the voltages on either side of this transformer in the form $V = V_m \cos(\omega t + \phi)$ below. Specify $V_m$, $\omega$, and $\phi$ in each expression. Show your work for these values to the right. transformer input: $V_i =$ transformer output: $V_o =$ Calculate the turns ratio for this transformer; show your work below. If the diode in the circuit above is ideal, carefully plot multiple cycles (to scale) of $V_o(t)$ across $R_{load}$ below. Calculate a value for the peak current, $I_m$, through the resistor if $R_{load} = 2 \Omega$. Show your work below. Plot multiple cycles (to scale) of $I_o(t)$ through $R_{load}$ on the graph of $V_o(t)$ above. Write the integral for the average (DC) voltage for the output of this circuit using the actual values, units, limits, etc. Write the integral for the effective (RMS) current for this circuit using the actual values, units, limits, etc.

          1) Given the following circuit:
120 V
7V
Assume the input ($V_i$) to the primary coil of the
transformer above is a standard 60 Hz wall outlet
that peaks at $t = 0$. Write the time-dependent
expressions for the voltages on either side of this
transformer in the form $V = V_m \cos(\omega t + \phi)$ below.
Specify $V_m$, $\omega$, and $\phi$ in each expression. Show
your work for these values to the right.
transformer input: $V_i =$
transformer output: $V_o =$
Calculate the turns ratio for this transformer; show your work below.
If the diode in the circuit above is ideal, carefully plot multiple cycles (to scale) of $V_o(t)$ across $R_{load}$ below.
Calculate a value for the peak current, $I_m$, through the resistor if $R_{load} = 2 \Omega$. Show your work below.
Plot multiple cycles (to scale) of $I_o(t)$ through $R_{load}$ on the graph of $V_o(t)$ above.
Write the integral for the average (DC) voltage for the output of this circuit using the actual values, units, limits, etc.
Write the integral for the effective (RMS) current for this circuit using the actual values, units, limits, etc.

1) Given the following circuit:
120 V
7V
Assume the input (Vi) to the primary coil of the
transformer above is a standard 60 Hz wall outlet
that peaks at t = 0. Write the time-dependent
expressions for the voltages on either side of this
transformer in the form V = Vm cos(ω t + ϕ) below.
Specify Vm, ω, and ϕ in each expression. Show
your work for these values to the right.
transformer input: Vi =
transformer output: Vo =
Calculate the turns ratio for this transformer; show your work below.
If the diode in the circuit above is ideal, carefully plot multiple cycles (to scale) of Vo(t) across Rload below.
Calculate a value for the peak current, Im, through the resistor if Rload = 2 Ω. Show your work below.
Plot multiple cycles (to scale) of Io(t) through Rload on the graph of Vo(t) above.
Write the integral for the average (DC) voltage for the output of this circuit using the actual values, units, limits, etc.
Write the integral for the effective (RMS) current for this circuit using the actual values, units, limits, etc.

Added by Rebecca S.

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