# Joules Law allows us to compute the power in a simple electric circuit: P=I2Ra) Use the equation above to find an equation relating (dP/dt), (dI/dt), (dR/dt), I and R.b) I have a circuit with a 400 ohm resistor. I increase the voltage at 20 Volts/s. When the voltage reaches 350 volts, how quickly is the Power in the circuit increasing? Include units in your answer. Note that 1 Watt is equivalent to 1 Volt2/ohm. Hint: you will need to use another equation relating voltage to current from the acticity in class.

Question
Asked Oct 5, 2019
11 views

Joules Law allows us to compute the power in a simple electric circuit: P=I2R

a) Use the equation above to find an equation relating (dP/dt), (dI/dt), (dR/dt), I and R.

b) I have a circuit with a 400 ohm resistor. I increase the voltage at 20 Volts/s. When the voltage reaches 350 volts, how quickly is the Power in the circuit increasing? Include units in your answer. Note that 1 Watt is equivalent to 1 Volt2/ohm. Hint: you will need to use another equation relating voltage to current from the acticity in class.

check_circle

star
star
star
star
star
1 Rating
Step 1

Given information:

Relation between P, I, R as:

P = I2R

Resistance in the circuit (R) = 400 ohms

Rate of change of voltage (dV/dt) = 20 volts/s

Final voltage of the circuit (V) = 350 volts

Step 2

Part a:

In P = I2R differentiate both the sides with time we get:

Step 3

We know, from ohms law...

### Want to see the full answer?

See Solution

#### Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in