208M_Fall2010_practice_test2

# 208M_Fall2010_practice_test2 - Things you must know...

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Things you must know Relationship between electric ﬁeld and electric force Electric ﬁeld of a point charge Conservation of charge Magnetic ﬁeld of a moving point charge The Superposition Principle Other Fundamental Concepts Δ ? = ± Δ ² Δ ² = ² ³ ³ ´ µ ≈− ( ³ ´ Δ + ³ µ Δ · + ³ Δ ¸ ) Speciﬁc Results ³ due to uniformly charged spherical shell: outside like point charge; inside zero ± ± ± ³ ·³¸¹±?,º´³» ± ± ± 1 4 ¹º 0 2 ±» ¼ 3 (on axis, ¼ » ) ± ± ± ³ ·³¸¹±?, ± ± ± 1 4 0 ¼ 3 (on axis, ¼ » ) ± ± ± ³ ¼¹· ± ± ± = 1 4 0 ½ ¼ ¼ 2 +( ¾/ 2) 2 ( ¼ from center) ¿ = electric dipole moment ± ± ± ³ ¼¹· ± ± ± 1 4 0 2 ½/¾ ¼ (if ¼ ¾ ) ± ± ± ³ ¼³½¾ ± ± ± = 1 4 0 ±¸ ( ¸ 2 + À 2 ) 3 / 2 ( ¸ along axis) ± ± ± ³ ·³»¿ ± ± ± = ½/Á 2 º 0 [ 1 ¸ ( ¸ 2 + À 2 ) 1 / 2 ] ( ¸ along axis) ± ± ± ³ ·³»¿ ± ± ± ½/Á 2 º 0 ² 1 ¸ À ³ ½/Á 2 º 0 (if ¸ À ) ± ± ± ³ Àº¸ºÀ³Á¹¼ ± ± ± ½/Á º 0 (+ ½ and ½ disks) ± ± ± ³ ²¼³½¾? ± ± ± ½/Á º 0 ( » 2 À ) just outside capacitor Δ Â = Ã 0 4 ¹ Ä Δ µ × ¼ ¼ 2 (short wire) ± ± ± Â Â³¼? ± ± ± = Ã 0 4 ¹ ¾Ä ¼ ¼ 2 ¾/ 2) 2 Ã 0 4 ¹ 2 Ä ¼ ( ¼ ¾ ) ± ± ± Â ±¹¹¸ ± ± ± = Ã 0 4 ¹ 2 Ä¹À 2 ( ¸ 2 + À 2 ) 3 / 2 Ã 0 4 ¹ 2 2 ¸ 3 (on axis, ¸ À ) Ã = ÄÁ = 2 ± ± ± Â ·³¸¹±?,º´³» ± ± ± Ã 0 4 ¹ 2 Ã ¼ 3 (on axis, ¼ » ) ± ± ± Â ·³¸¹±?, ± ± ± Ã 0 4 ¹ Ã ¼ 3 (on axis, ¼ » ) Å = ÆÁ ¯ ÇÄ = ± ÆÁ ¯ Ç ¯ Ç = È³ ³ ·³?±?ÀÁ¼³À = ³ º¸¸±³?· É Δ ² = ± 4 0 [ 1 ¼ ² 1 ¼ ³ ] due to a point charge É 1 2 ÊÇ 2 if Ç Ë circular motion: ± ± ± ± ´⃗ ¿ ´Ì ± ± ± ± = ⃗Ç À ⃗¿ ∣≈ ÊÇ 2 À 1

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Constant Symbol Approximate Value Speed of light ? 3 × 10 8 m/s Gravitational constant ± 6 . 7
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## This note was uploaded on 01/17/2011 for the course PY 208M taught by Professor Chabay during the Fall '08 term at N.C. State.

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208M_Fall2010_practice_test2 - Things you must know...

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