P26_043

# P26_043 - 43. (a) The electric eld in the region between...

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43. (a) The electric feld in the region between the plates is given by E = V/d ,where V is the potential diFerence between the plates and d is the plate separation. The capacitance is given by C = κε 0 A/d , where A is the plate area and κ is the dielectric constant, so d = κε 0 A/C and E = VC κε 0 A = (50 V)(100 × 10 12 ±) 5 . 4(8 . 85 × 10 12 ± / m)(100 × 10 4 m 2 ) =1 . 0 × 10 4 V / m . (b) The ²ree charge on the plates is q f = CV = (100 × 10 12 ±)(50 V) = 5 . 0 × 10 9 C. (c) The electric feld is produced by both the ²ree and induced charge. Since the feld o² a large uni²orm layer o² charge is q/ 2 ε 0 A , the feld between the plates is E = q f 2 ε 0 A + q f 2 ε 0 A q i 2 ε 0 A q i 2 ε 0 A , where the frst term is due to the positive ²ree charge on one plate, the second is due to the negative
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## This note was uploaded on 11/12/2011 for the course PHYS 2001 taught by Professor Sprunger during the Fall '08 term at LSU.

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