Find the instantaneous value of voltage at the given angle.

Answer:
Check

Ask by Gross Reeves. in the United States

Mar 23,2025

Question

Find the instantaneous value of voltage at the given angle. $$ V=1.4 \sin 	heta $$ $$ 	heta=163^{\circ} $$ Answer: Check

UpStudy AI · Accepted Answer

1. We are given the function for voltage:
   $$
   V = 1.4 \sin \theta
   $$
   and the angle:
   $$
   \theta = 163^\circ.
   $$

2. Substitute the angle into the function:
   $$
   V = 1.4 \sin(163^\circ).
   $$

3. Calculate $$\sin(163^\circ)$$. Note that:
   $$
   \sin(163^\circ)=\sin(180^\circ-163^\circ)=\sin(17^\circ).
   $$
   Using a calculator, we find:
   $$
   \sin(17^\circ) \approx 0.2924.
   $$

4. Now, compute the voltage:
   $$
   V \approx 1.4 \times 0.2924 \approx 0.40936.
   $$

5. Therefore, the instantaneous value of the voltage at $$\theta = 163^\circ$$ is approximately:
   $$
   V \approx 0.41 \text{ volts}.
   $$
The instantaneous voltage at $$ \theta = 163^\circ $$ is approximately 0.41 volts.

Find the instantaneous value of voltage at the given angle.

Answer:
Check

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Find the instantaneous value of voltage at the given angle. Answer: Check