Charging/Discharging Capacitor & Magnetic Field

AI Thread Summary
The discussion revolves around a physics problem involving a circuit with a capacitor placed in an increasing magnetic field. The initial current in the circuit is determined to be 0.4 A, flowing counterclockwise. To find the time it takes for the capacitor to charge to 25% of its final charge, the equation Q(t)=Qf(1-e^(-t/rc) is applied, but the user struggles with the calculations. The final charge (Qf) is calculated using Q=VC, resulting in 9.5e-5 C, but the user encounters difficulties in solving for time. Clarifications are provided regarding the need to multiply by the final charge when calculating the 25% threshold.
longcatislong
Messages
12
Reaction score
0

Homework Statement


The magnetic field in the region shown below is increasing by 5 T/s. The circuit shown (with R=25 , C=95 µF, dimensions 1 m by 2 m) is inserted into the region as shown. The capacitor is initially uncharged.

See Diagram: http://www.webassign.net/userimages/23-31.gif?db=v4net&id=50305

a.) What is the current in the circuit at the moment the circuit is put in the B field?
.4 A
direction: counterclockwise

b) How long will it take the capacitor to charge to 25% of its final charge?
?

c) How much charge will the capacitor hold after a long time (assuming this magnetic field rate increase is maintained)?
?


Homework Equations



Q(t)=Qf(1-e^t/rc)

Q=VC



The Attempt at a Solution



I'm using Q(t)=Qf(1-e^t/rc) to find time.

First, I found Qf by using Q=VC. I know that V=IR so, Q=IRC, =(.4)(25)(9.5e-6)
Qf=9.5e-5


Then, I used Q(t)=Qf(1-e^t/rc)

.25=9.5e-5(1-e^-t/[(9.5e-5*25)]

I'm not getting a real or correct answer for this.


Your assistance, any help you could offer is much appreciated. THANK YOU!
 
Physics news on Phys.org
I think you numbers are correct but when the charge is 25% that means 25% x final charge.
I think you have just forgotten to multiply by the final charge??
 
Thread 'Variable mass system : water sprayed into a moving container'
Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
I was thinking using 2 purple mattress samples, and taping them together, I do want other ideas though, the main guidelines are; Must have a volume LESS than 1600 cubic centimeters, and CAN'T exceed 25 cm in ANY direction. Must be LESS than 1 kg. NO parachutes. NO glue or Tape can touch the egg. MUST be able to take egg out in less than 1 minute. Grade A large eggs will be used.

Similar threads

Back
Top