A parallel-plate capacitor is filled by a dielectric whose permittivity varies with the applied voltage according to the law ε = αU, where α = 1 V –1 . The same (but containing no dielectric) capacitor charged to a voltage U 0 = 156 V is connected in parallel to the first "nonlinear" uncharged capacitor. Determine the final voltage U across the capacitors.
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
Sol. The capacitance of the nonlinear capacitor is
C = ε C 0 = αUC 0 ,
Where C 0 is the capacitance of the capacitor without a dielectric. The charge on the nonlinear capacitor is q n = CU = aC 0 U 2 , while the charge on the normal capacitor is q 0 = C 0 U. It follows from the charge conservation law
q n + q 0 = C 0 U 0
that the required voltage is U = 
= 12 V.
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems