A very long non-conducting cylindrical shell of length l=10m is free of rotate about its fixed axis. A light inextensible thread is wrapped over non-conducting cylindrical surface and one end P is pulled with constant acceleration of F/(2m). F is the force applied at P and m is the mass of cylinder. Then charge on the cylinder will be 5xx10K coulomb. [Given m=25kg, l=10m]. Find the value of K?

A very long non-conducting cylindrical shell of length l=10m is free o

1.	A very long non-conducting cylindrical shell of length l=10m is free of rotate about its fixed axis. A light inextensible thread is wrapped over non-conducting cylindrical surface and one end P is pulled with constant acceleration of F/(2m). F is the force applied at P and m is the mass of cylinder. Then charge on the cylinder will be 5xx10K coulomb. [Given m=25kg, l=10m]. Find the value of K?
Answer» Solution :`FR-(mu_(0)Q^(2)R^(2))/(4pil) sigma=mR^(2)ALPHA` `F=Ralpha[m+(mu_(0)q^(2))/(4pil)]` `F/(2M)=Ralpha=F/(m+(mu_(0)q^(2))/(4lpi))` `q=sqrt((ml4pi)/(mu_(0)))=5xx10^(4)`

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