Ok the question is with a U-shaped conductor and a bar that slides across. There is a battery and a switch, the switch is open for a long time then closed at t=0. Im supposed to find the velocity as a function of time. Im mostly having trouble with the integration, i know the answer but i cant seem to integrate it right.(adsbygoogle = window.adsbygoogle || []).push({});

We have to integrate the first term from 0 to v, and the second from 0 to t

dv/(E-BLv) = (LB/mR)dt

E=voltage of battery

B=magnetic field

L=length of rod

R=resistance

i get to the formula above and then try u-substitution and i cant seem to get it right, could someone integrate this and show me? thanks

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Integration of V(t) using faraday's law

**Physics Forums | Science Articles, Homework Help, Discussion**