- #1
usfelectrical
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As shown in the figure, a rod of length 9.8 m lies along the x-axis, with its left end at the origin. The rod has a non-uniform linear charge density λ = αx, where α = 0.009 C/m2 and x is the position. Point A lies on the x-axis a distance 3.59 m to the left of the rod, as shown in the figure.
Q is the total charge on the rod. The Coulomb constant is 8.988 × 109 N m2/C2.
Find the potentia at A, and answer in units of volts
the two relevant equations i can find are:
v=kq/r
dv=kdq/r and lambda=qx?
i am completely stuck on this problem and just need to find a way to start it. I though that you might be able to integrate the charge density formula over the total area of the rod and treat that value as Q and then plug that value into v=kq/r where r is the 3.59, but apparently that is worng and i am back to square one with no idea as to what to do
Q is the total charge on the rod. The Coulomb constant is 8.988 × 109 N m2/C2.
Find the potentia at A, and answer in units of volts
the two relevant equations i can find are:
v=kq/r
dv=kdq/r and lambda=qx?
i am completely stuck on this problem and just need to find a way to start it. I though that you might be able to integrate the charge density formula over the total area of the rod and treat that value as Q and then plug that value into v=kq/r where r is the 3.59, but apparently that is worng and i am back to square one with no idea as to what to do