The device depicted in the figure below, is represented in the frequency domain by a Thevenin equivalent. When an inductor with an impedance of Z, = j1000 is connected across the device, the phasor of the voltage Vacross the inductor is V, = 10 +j10 V. When a capacitor having an impedance of Ze = -j1000 is connected across the device, the phasor of the voltage Vacross the capacitor is Ve = 10 -/10 V. You need to find the Thevenin impedance Zrw and the phasor of the Thevenin Voltage source VrH- DEVICE V HINT Your results can be obtained faster if you work analytically, le. obtain the expressions of V u and Zry in terms of V.Vo2, and Ze before you substitute their values. A calculator will not speed your work for this problem. a) Draw the diagram showing the Thevenin equivalent of the device and the Z = j1000 inductor connected (as the load) across the device. Write the equation for the voltage phasor V, in terms of Vr, Zru and Z.

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b) Draw the diagram showing the Thevenin equivalent of the device and the
Zc = -j100d capacitor connected (as the load) across the device.
Write the equation for the voltage phasor V, in terms of V. ZT and Ze
Transcribed Image Text:b) Draw the diagram showing the Thevenin equivalent of the device and the Zc = -j100d capacitor connected (as the load) across the device. Write the equation for the voltage phasor V, in terms of V. ZT and Ze
The device depicted in the figure below, is represented in the frequency domain by a
Thevenin equivalent. When an inductor with an impedance of 2, = j1000 is connected
across the device, the phasor of the voltage Vacross the inductor is V, = 10+j10 V.
When a capacitor having an impedance of Ze = -j1000 is connected across the device,
the phasor of the voltage Vacross the capacitor is Ve = 10 - j10 V. You need to find the
Thevenin impedance Zrw and the phasor of the Thevenin Voltage source Vrr-
DEVICE
V
HINT Your results can be obtained faster if you work analytically, ie obtain the
expressions of V and Zry in terms of VV.Z, and Z, before you substitute their
values. A calculator will not speed your work for this problem.
a) Draw the diagram showing the Thevenin equivalent of the device and the Z, = j100n
inductor connected (as the load) across the device.
Write the equation for the voltage phasor V, in terms of Vrur. Zr and Z.
Transcribed Image Text:The device depicted in the figure below, is represented in the frequency domain by a Thevenin equivalent. When an inductor with an impedance of 2, = j1000 is connected across the device, the phasor of the voltage Vacross the inductor is V, = 10+j10 V. When a capacitor having an impedance of Ze = -j1000 is connected across the device, the phasor of the voltage Vacross the capacitor is Ve = 10 - j10 V. You need to find the Thevenin impedance Zrw and the phasor of the Thevenin Voltage source Vrr- DEVICE V HINT Your results can be obtained faster if you work analytically, ie obtain the expressions of V and Zry in terms of VV.Z, and Z, before you substitute their values. A calculator will not speed your work for this problem. a) Draw the diagram showing the Thevenin equivalent of the device and the Z, = j100n inductor connected (as the load) across the device. Write the equation for the voltage phasor V, in terms of Vrur. Zr and Z.
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