Combine 3 Eqns for Plasma in a Solenoid

ccab521
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Homework Statement
See Attached file
Relevant Equations
See Attached file
∇p=j×B (eq. 1)
K=nI
BSolenoid=μnI⇒μK (eq. 2)
∇p=-2p0r/(a2) (eq. 3)
Combining these three equations:
j=-2p0r/(a2μK) (θ hat direction)

Feel like this is too simple and might be missing a step any help would be much appreciated!
 

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Your work looks correct to me.
 
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