current in RL circuit
Not what you're looking for?
An electric circuit with an ohmic resistor R and an inductance L will exhibit a certain delay in approaching the (asymptotic) saturation current I_infinity=U/R in response to a voltage source U. Using Kirchoff's circuit laws, electrical engineers have proposed the equation
dI/dt=-R/L I+U/L
for describing the time dependence I(t) of the electric current.
If the electric current is zero at time t=0, determine the solution I(t) in terms of the given constants U,R, and L.
Electrical engineers are often interested in the time T when the electric current I reaches 75% of its saturation value. Determine the value of T in terms of the given constants.
Assuming a circuit with U=200V,R=50 ohms,L=100H, when is the electric current 0.5A below the saturation level? You may ignore the units here (they are all SI).
Purchase this Solution
Solution Summary
It finds the current in RL series circuit by solving the differential equation. The solution is detailed and well presented.
Solution Preview
An electric circuit with an ohmic resistor R and an inductance L will exhibit a certain delay in approaching the (asymptotic) saturation current I_∞=U/R in response to a voltage source U. Using Kirchoff's circuit laws, electrical engineers have proposed the equation
dI/dt=-R/L I+U/L
for describing the time dependence I(t) of the electric current.
If the electric current is zero at time ...
Purchase this Solution
Free BrainMass Quizzes
Variables in Science Experiments
How well do you understand variables? Test your knowledge of independent (manipulated), dependent (responding), and controlled variables with this 10 question quiz.
Classical Mechanics
This quiz is designed to test and improve your knowledge on Classical Mechanics.
Basic Physics
This quiz will test your knowledge about basic Physics.
Intro to the Physics Waves
Some short-answer questions involving the basic vocabulary of string, sound, and water waves.
The Moon
Test your knowledge of moon phases and movement.