Connecting or disconnecting battery On disconnecting the battery charge remains constant & if the battery remains connected then potential difference across the capacitor remains constant. Using the above fact the effect of inserting a dielectric slab between plates of a capacitor can be expressed by the following table:
Parallel dielectrics in a capacitor If three dielectric of slabs of same thickness, but different areas of cross section A1, A2 & A3 , dielectric constants K1, K2 & K3 are placed between the plates of a parallel plate capacitor as shown, then the combination behaves as different dielectrics dividing the plate area are considered […]
Series dielectrics in a capacitor If three dielectric slabs of thickness t1, t2 & t3, dielectric constants K1, K2 & K3 are placed between the plates of a parallel plate capacitor as shown, then the combination behaves as different dielectrics dividing the spacing are considered as capacitors connected in series. Capacitance of this is given […]
Energy (potential) stored in a capacitor A charged capacitor of any shape or size stores energy (potential) in the form of electrostatic electric field, it is given by Energy per unit volume is called energy density, it is Electric energy density,
Series grouping of capacitors 1. Charge on all the components connected in series is same (i.e. q = constant). 2. Potential difference is divided among the various capacitors in accordance with e. a capacitor of smaller capacitance will get more potential difference & vice versa. 3. Effective capacitance is given by,
Parallel grouping of capacitors 1. Potential difference across all the components connected in parallel is same (i.e. V = constant) 2. Charge is among the various capacitors in accordance with q ∝ C i.e. a capacitor of greater capacitance will get more charge & vice versa. 3. Effective capacitance is is given by,
Conduction Suppose two charged metal spheres of radii R1 & R2 of different potentials are joined by a metal wire, then charge flows from conductor at higher potential to that at lower potential till both acquire the same potential ‘V’ called common potential. This stage is called steady state & is achieved almost immediately after […]
Spherical capacitor inner earthed Suppose a neutral metal sphere radius a is placed concentrically inside a metal shell of radius b having surface charge +q. If inner sphere a is earthed then charge q/ appears on its surface from earth so that the potential of b becomes zero. i.e., Due to earthing & induction the […]
Spherical capacitor outer earthed Suppose a metal sphere of charge +q & radius a is placed concentrically inside a metal shell of radius b. The charge of a induces charge – q on inner surface & +q on its outer surface of shell b. If shell b is earthed then its +q leaks to earth […]
*Some Practical Units of Mass 1 slug = 14.57 kg 1 quintal(q) = 100 kg 1 tonne (t) = 1000 kg Chandrasekhar Limit (CSL)= 1.4 solar masses = 1.4 x (2 x 1030 kg) = 2.8 x 1030 kg 1 unified atomic mass unit (u)= 1.66 x 10 -27 kg 1 carat (c) * = […]
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