Question

.a 220 resistor dissipates 3 w. the voltage is what

Answer 1

The voltage obtained will be 2√165 volts.

Given:

A resistor with resistance = 220 ohms.

The power dissipated=3 watts.

To Find:

Voltage through the resistor?

Solution:

We have the formula P=(V)^2/R

Where P=Power dissipated

R=Resistance offered by resistor

V= Voltage passing through the resistor.

Now, V^2=P*R

=3*220

=√660

= 2*√165 volts.

Thus, the voltage passed through the given resistor is 2√165 volts.

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Answer 2

The voltage of a 220-ohm resistor that dissipates 3 W energy is 25.7 volts.

Given:

A 220-ohm resistor dissipates 3 w.

To Find:

The voltage.

Solution:

To Find the voltage dissipated by the 220-ohm resistor we will follow the following steps:

As we know,

Power is the energy supplied, used, or dissipated in the form of heat in a given time.

So,

The formula of power =

$\frac{energy}{time}$

The unit of power is watt or Nm/s².

The power dissipation in the resistor is calculated by the formula:

$p = \frac{ {v}^{2} }{r} = vi$

${v}^{2} = p \times r$

$v = \sqrt{p \times r}$

Here, v is voltage, r is resistance and i is current.

According to the question:

r = 220 ohm

v = 3 watt

Now, putting values on the above formula we get,

$v = \sqrt{3 \times 220 } = \sqrt{660} = 25.7$

Henceforth, the voltage of a 220-ohm resistor that dissipates 3 W energy is 25.7 volts.

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