The enclosed charge because of our usage of physics

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Unformatted text preview: D) Q − 2 qIn ˆ E= y ε0 A Physics 2B - Summer Session 2 - C. Palmer –qIn +qIn + - August 19, 2013 - - - - - - - - - + + + + + + + + + 14 z x ε 0 Φ E = ε 0 κ E ⋅ dA = QFree, Enclosed ∫ y   What is the electric field inside of the parallel plate capacitor filled with dielectric, κ? Assume the electric field outside the capacitor is 0. Q − qIn B) Q A) E = ˆ ˆ E= y y ε 0κ A C) Q ˆ E= y ε0 A ε 0κ A D) Q − 2 qIn ˆ E= y ε0 A Physics 2B - Summer Session 2 - C. Palmer –qIn +qIn + - August 19, 2013 - - - - - - - - - + + + + + + + + + 15   The green line is the path I have chosen. ΔV = − ∫ + = −∫ + − − E ⋅ ds Q ˆ E= y ε 0κ A Q ˆ ˆ y ⋅ ( − ydy ) ε 0κ A x y –qIn +qIn + - Qd = ε 0κ A Physics 2B - Summer Session 2 - C. Palmer z August 19, 2013 - - - - - - - - - + + + + + + + + + 16   Use the definition of capacitance Qd ΔV = κε 0 A Q C= ΔV κε 0 A =Q Qd κε 0 A = = κ C0 d Physics 2B - Summer Session 2 - C. Palmer z x y –qIn +qIn + - - - - - - - - - - August 19, 2013 + + + + + + + + + 17   Use the definition of capacitance 2 1Q U= 2C 2 1Q = 2 κ C0 Qd ΔV = κε 0 A Physics 2B - Summer Session 2 - C. Palmer z x y –qIn +qIn + - - - - - - - - - - August 19, 2013 + + + + + + + + + 18 ε 0 Φ E = ε 0 κ E ⋅ dA = QFree, Enclosed ∫   This capacitor is filled in part by a dielectric with thickness b<d. b - - - - - - - - - - Physics 2B - Summer Session 2 - C. Palmer August 19, 2013 + + + + + + + + + + 19 ε 0 Φ E = ε 0 κ E ⋅ dA = QFree, Enclosed ∫   This capacitor is filled in part by a dielectric with thickness b<d.   The electric field inside the dielectric is exactly what we computed before. - - - - - - - - - - Q ˆ EInside dielectric = y ε 0κ A Physics 2B - Summer Session 2 - C. Palmer b August 19, 2013 + + + + + + + + + + 20 ε 0 Φ E = ε 0 κ E ⋅ dA = QFree, Enclosed ∫   This capacitor is filled in part by a dielectric with thickness b<d.   What is the electric field inside the capacitor but outside the dielectric? A) B) Q Q E= E= ˆ y ε 0κ A C) Q ˆ E=− y ε 0κ A D) ˆ y ε0 A Q ˆ E=− y ε0 A Physics 2B - Summer Session 2 - C. Pa...
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