Question

A dependent voltage source shown in Figure 1.15 (a) has $\mu=25$. (a) What is the voltage between the terminals on the right, if $v_i=4.3 \mathrm{~V}$ ? (b) If $v_i=30 \mathrm{~V}$ ?

   A dependent voltage source shown in Figure 1.15 (a) has $\mu=25$. (a) What is the voltage between the terminals on the right, if $v_i=4.3 \mathrm{~V}$ ? (b) If $v_i=30 \mathrm{~V}$ ?
 
Essentials of Electrical and Computer Engineering
Essentials of Electrical and Computer Engineering
David V. Kerns, Jr.,… 1st Edition
Chapter 1, Problem 27 ↓

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The dependent voltage source has a gain factor \( \mu = 25 \), which means the output voltage \( v_o \) is related to the input voltage \( v_i \) by the equation: \[ v_o = \mu \cdot v_i \]  Show more…

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A dependent voltage source shown in Figure 1.15 (a) has $\mu=25$. (a) What is the voltage between the terminals on the right, if $v_i=4.3 \mathrm{~V}$ ? (b) If $v_i=30 \mathrm{~V}$ ?
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Key Concepts

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Dependent Voltage Source
A dependent voltage source is an electrical source whose output voltage is not fixed but instead is controlled by another electrical quantity in the circuit, such as a voltage or current. Its behavior is described by a relationship that ties the output voltage to this controlling variable, often by multiplication with a predefined factor.
Voltage Gain
The voltage gain (represented as ? in this context) is the factor by which the controlling voltage is multiplied to produce the output voltage of the dependent source. It defines the linear relationship between the input control signal and the output voltage, serving as a key parameter in analyzing and designing circuits with such sources.
Terminal Voltage Measurement
Terminal voltage is the voltage measured across the output terminals of a circuit component. For a dependent voltage source, it reflects the product of the controlling signal and the gain factor, indicating the actual potential difference seen by any connected load.

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In the circuit of Figure P1.29, the electrical power generated by the dependent source is 230 W. Calculate the voltage "Us" of the source on the left of the figure. (Note: Of the two values obtained, take the one that corresponds to the polarity shown in the figure). Answer: Us = 30 V.

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