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Questions and Answers
What is the expression for current drawn in a purely resistive circuit when a sinusoidal voltage of $v = V_m imes ext{sin}( ext{ω}t)$ is applied?
What is the expression for current drawn in a purely resistive circuit when a sinusoidal voltage of $v = V_m imes ext{sin}( ext{ω}t)$ is applied?
- $i = V_m \times \text{cos}(\text{ω}t)$
- $i = \frac{V_m}{R} \times \text{sin}(\text{ω}t)$ (correct)
- $i = \frac{V_m}{R} \times \text{cos}(\text{ω}t)$
- $i = V_m \times \text{sin}(\text{ω}t)$
What is the average power consumed in a purely resistive circuit with a sinusoidal voltage of $v = V_m \times \text{sin}(\text{ω}t)$?
What is the average power consumed in a purely resistive circuit with a sinusoidal voltage of $v = V_m \times \text{sin}(\text{ω}t)$?
- $P = V_m \times I_m \times \text{cos}(2\text{ω}t)$
- $P = \frac{V_m \times I_m}{2} \times \text{cos}(2\text{ω}t)$
- $P = V_m \times I_m$
- $P = \frac{V_m \times I_m}{2}$ (correct)
What is the instantaneous power in a purely resistive circuit with a sinusoidal voltage of $v = V_m \times \text{sin}(\text{ω}t)$?
What is the instantaneous power in a purely resistive circuit with a sinusoidal voltage of $v = V_m \times \text{sin}(\text{ω}t)$?
- $p = V_m \times I_m \times (1 - \text{cos}(2\text{ω}t))$ (correct)
- $p = V_m \times I_m \times (1 - \text{cos}(\text{ω}t))$
- $p = V_m \times I_m \times \text{sin}(2\text{ω}t)$
- $p = V_m \times I_m \times \text{sin}^2(\text{ω}t)$
At what point is the current maximum in a purely resistive circuit with a sinusoidal voltage of $v = V_m \times \text{sin}(\text{ω}t)$?
At what point is the current maximum in a purely resistive circuit with a sinusoidal voltage of $v = V_m \times \text{sin}(\text{ω}t)$?
What is the expression for current drawn in a purely resistive circuit when a sinusoidal voltage of $v = V_m \times \text{cos}(\text{ω}t)$ is applied?
What is the expression for current drawn in a purely resistive circuit when a sinusoidal voltage of $v = V_m \times \text{cos}(\text{ω}t)$ is applied?
Study Notes
Sinusoidal Voltage in a Purely Resistive Circuit
- The current drawn in a purely resistive circuit with a sinusoidal voltage of $v = V_m \times \text{sin}(\text{ω}t)$ is expressed as $i = I_m \times \text{sin}(\text{ω}t)$.
- The average power consumed in a purely resistive circuit with a sinusoidal voltage is $P_{avg} = \frac{V_m^2}{2R}$.
- The instantaneous power in a purely resistive circuit with a sinusoidal voltage is $p = \frac{V_m^2}{R} \times \text{sin}^2(\text{ω}t)$.
- The current is maximum in a purely resistive circuit with a sinusoidal voltage when $\text{ω}t = \frac{\pi}{2} + k\pi$, where $k$ is an integer.
- The current drawn in a purely resistive circuit with a sinusoidal voltage of $v = V_m \times \text{cos}(\text{ω}t)$ is expressed as $i = I_m \times \text{cos}(\text{ω}t)$.
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Description
Test your knowledge of single-phase AC circuits with this quiz on the foundations of electrical engineering. Explore the derivation of current and power consumption in a purely resistive circuit when a sinusoidal voltage is applied. Delve into circuit diagrams, V&I waveforms, and phasor diagrams. Ideal for first-year BTECH students at JSPM University.
