Question

The voltage across the ends of a resistor is v =V0 sinwt . The r.m.s.

value of this voltage is ​

Answer 1

Answer:

Step-by-step explanation:

Vo/root under 2 since steps to find rms is-

1)squaring

2)taking root of it

sin sq wt= 1/2

Answer 2

Answer:

The RMS ( root mean square ) value of the given voltage = $\frac{V_{0} }{\sqrt{2} }$.

Step-by-step explanation:

Given data,

The equation is given for the voltage across the resistor:

• $V = V_{0}sin\omega t$

In this,

• V = Voltage across the resistor
• $V_{0}$ = Voltage's average value
• ω = Angular acceleration
• t = Time

To find:

The RMS ( root mean square ) value of the given voltage =?

As we know,

• The RMS values can be calculated by multiplying the average value of the voltage by $\frac{1}{\sqrt{2} }$.

As given the voltage's average value is $V_{0}$.

Therefore,

• $V_{rms} = \frac{V_{0} }{\sqrt{2} }$

Hence, the RMS ( root mean square ) value of the given voltage = $\frac{V_{0} }{\sqrt{2} }$.