problem24_46

University Physics with Modern Physics with Mastering Physics (11th Edition)

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24.46: a) The capacitance changes by a factor of K when the dielectric is inserted. Since V is unchanged (The battery is still connected), 80 . 1 pC 0 . 25 pC 0 . 45 before after before after = = = = K Q Q C C b) The area of the plates is , m 10 827 . 2 ) m 0300 . 0 ( 2 3 2 2 - × = = π πr and the separation between them is thus m 10 002 . 2 farad 10 5 . 12 ) m 10 827 . 2 )( m N C 10 85 . 8 )( 00 . 1 ( 3 12 2 3 2 2 12 0 - - - - × = × × × = = C A d Before the dielectric is inserted, V 000 . 2 ) m 10 827 . 2 )( m N C 10 85 . 8 )( 00 . 1 ( ) m 10 00 . 2 )( C 10 0 . 25 ( 2 3 2 2 12 3 12 0 0 = × × × × = = = = - - - - A Qd V V Q d A C The battery remains connected, so the potential difference is unchanged after the
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Unformatted text preview: dielectric is inserted. c) Before the dielectric is inserted, C N 999 ) m 10 827 . 2 )( 00 . 1 )( m N C 10 85 . 8 ( C 10 . 25 2 3 2 2 12 12 = = =---KA Q E Again, since the voltage is unchanged after the dielectric is inserted, the electric field is also unchanged....
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