A 2.0-mm-long, 1.0--diameter wire has a variable resistivity given by rho(x)=(2.5×10−6)[1+(x1.0m)2]Ωmrho( x)=(2.5×10−6)[1+(x1.0m)2]Ωm where xx is measured from one end of the wire. What is the current if this wire is connected to the terminals of a 17.0V battery?

1.144 A

Explanation:

given that;

the length of the wire = 2.0 mm

the diameter of the wire = 1.0 mm

the variable resistivity R =

Voltage of the battery = 17.0 v

Now; the resistivity of the variable (dR) can be expressed as =

Taking the integral of both sides;we have:

R = 14.863 Ω

Since V = IR

I = 1.144 A

∴  the current if this wire if it is connected to the terminals of a 17.0V battery = 1.144 A

battery with hi vtge high val resist in series

the displacement produced by the body.  

the amount of force subjected to the body.  

the angle between the direction of force and displacement