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Consider two oppositely charged, isolated parallel plates separatedby distance D

ID: 1669992 • Letter: C

Question

Consider two oppositely charged, isolated parallel plates separatedby distance D, with capacitance C, chargeQ, and stored energy U. For each statement below,select "True" or "False".

1. When D is doubled, U is unchanged.

2. Increasing D, leaves the E fieldunchanged.

3. Because of energy conservation, inserting a dielectricleaves U unchanged.

4. When D is doubled, C is halved.

5. When D is halved, Q stays the same.

6. Because of charge conservation, inserting a dielectricleaves C unchanged.

7. Inserting a dielectric does not affect Q.

Explanation / Answer

we have some equations here (Q is constant) C=*k*A/D U=1/2*C*Q=1/2*Q2/C=1/2*V2*C 1. When D is doubled, U isunchanged.
FALSE 2. Increasing D, leaves the Efield unchanged.
TRUE 3. Because of energy conservation, inserting adielectric leaves U unchanged. FALSE (need work to do it) 4. When D is doubled, C is halved.
TRUE 5. When D is halved, Q stays thesame TRUE 6. Because of charge conservation, inserting adielectric leaves C unchanged.
FALSE 7. Inserting a dielectric does not affectQ.
TRUE