Answer carefully: (a) Two large conducting spheres carrying charges Q1 and Q2 arebrought close to each other. Is the magnitude of electrostaticforce between them exactly given by Q1 Q2/4pe0r2, where r isthe distance between their centres? (b) If Coulomb’s law involved 1/r3 dependence (instead of 1/r2),would Gauss’s law be still true ? (c) A small test charge is released at rest at a point in anelectrostatic field configuration. Will it travel along the fieldline passing through that point? (d) What is the work done by the field of a nucleus in a completecircular orbit of the electron? What if the orbit is elliptical? (e) We know that electric field is discontinuous across the surfaceof a charged conductor. Is electric potential also discontinuousthere? (f ) What meaning would you give to the capacitance of a singleconductor? (g) Guess a possible reason why water has a much greaterdielectric constant (= 80) than say, mica (= 6).

Answer carefully: (a) Two large conducting spheres carrying charges Q1

1.	Answer carefully: (a) Two large conducting spheres carrying charges Q1 and Q2 arebrought close to each other. Is the magnitude of electrostaticforce between them exactly given by Q1 Q2/4pe0r2, where r isthe distance between their centres? (b) If Coulomb’s law involved 1/r3 dependence (instead of 1/r2),would Gauss’s law be still true ? (c) A small test charge is released at rest at a point in anelectrostatic field configuration. Will it travel along the fieldline passing through that point? (d) What is the work done by the field of a nucleus in a completecircular orbit of the electron? What if the orbit is elliptical? (e) We know that electric field is discontinuous across the surfaceof a charged conductor. Is electric potential also discontinuousthere? (f ) What meaning would you give to the capacitance of a singleconductor? (g) Guess a possible reason why water has a much greaterdielectric constant (= 80) than say, mica (= 6).
Answer» Answer carefully: (a) Two large conducting spheres carrying charges Q1 and Q2 arebrought close to each other. Is the magnitude of electrostaticforce between them exactly given by Q1 Q2/4pe0r2, where r isthe distance between their centres? (b) If Coulomb’s law involved 1/r3 dependence (instead of 1/r2),would Gauss’s law be still true ? (c) A small test charge is released at rest at a point in anelectrostatic field configuration. Will it travel along the fieldline passing through that point? (d) What is the work done by the field of a nucleus in a completecircular orbit of the electron? What if the orbit is elliptical? (e) We know that electric field is discontinuous across the surfaceof a charged conductor. Is electric potential also discontinuousthere? (f ) What meaning would you give to the capacitance of a singleconductor? (g) Guess a possible reason why water has a much greaterdielectric constant (= 80) than say, mica (= 6).

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