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first midterm review

first midterm review - Electric Charge Midterm I Review...

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1 1 Midterm I Review Next time: HRW 26.1-26.5 2 Electric Charge Properties of electric charge: – Conservation – Quantization Atomic picture of matter: – insulators – conductors Charges are the sources of electric fields and potential Charged particles feel a force in an electric field 3 The effect of a point charge r r 2 0 qQ R F = 4 πε R R 0 Q V = 4 πε R q + r F Q + + Q r r 2 0 Q R E = 4 πε R R + Q r r E = F q ; x E d =- V dx Δ V =- W ; q 0 2 u ε = 2 E V=0 at R= 4 Electric force and potential energy Δ r r f i =- •ds E V r r F = E q x F d =- U dx x E d =- V dx Δ r r f i =- •ds F U U = V q r F U r E V Δ V =- W q Δ U =- W Electric field and potential Force Field Potential Energy Potential Work done by the field Work done by the field
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2 5 Superposition r r r i i 2 i 0 i i q r E = 4 πε r r It’s vector addition , so different components must be added separately. ( ) cos d d x x 2 0 θ q E = E = 4 πε r ( ) sin d d y y 2 0 θ q E = E = 4 πε r x y r E d θ For continuous charge distributions: Use symmetry to simplify things (before integrating).
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