E3 - Phy sics 7B WS E3 (rev. 3.0) Page 1 E-3. Gausss Law...

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Physics 7B WS E3 (rev. 3.0) Page 1 E-3. Gauss’s Law " E = r E # d r A S $$ = Q enc % 0 Questions for discussion 1. Using what you know about the electric field, write down some rules for electric field lines. 2 . Consider a pair of point charges ±Q, fixed in place near one another as shown. a) On the diagram above, sketch the field created by these two point charges. b) Now consider an imaginary spherical surface enclosing the +Q charge: i) Reproduce here your drawing of the electric field lines from part (a), so you can get a sense of how the field lines pierce the imaginary spherical surface.
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Physics 7B WS E3 (rev. 3.0) Page 2 ii) How much electric flux passes outward through the imaginary spherical surface? You should be able to arrive at the answer very quickly using Gauss’s Law. iii) By examining the field lines and how they pierce the imaginary spherical surface, try to explain why the flux turns out to be what Gauss’s Law said it was. (For example, try to explain why the net flux through the surface is outward .) c) Next, consider an imaginary ellipsoidal surface enclosing both charges: i) Once again, reproduce your drawing of the electric field lines from part (a), so you can get a sense of how the field lines pierce the imaginary ellipsoidal surface. ii) How much electric flux passes outward through the imaginary ellipsoidal surface? Again, you should be able to arrive at the answer very quickly using Gauss’s Law. iii) By examining the field lines and how they pierce the ellipsoid, try to explain why the flux turns out to be what Gauss’s Law said it was.
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Physics 7B WS E3 (rev. 3.0) Page 3 d) Finally, consider an irregular imaginary closed surface that winds around between the charges as shown: i) Once again, reproduce your drawing of the electric field lines from part (a), so you can get a sense of how the field lines pierce the irregular imaginary closed surface. ii)
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E3 - Phy sics 7B WS E3 (rev. 3.0) Page 1 E-3. Gausss Law...

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