Shortcut Methods
JEE NUMERICALS
- Hollow Conducting Sphere Electric Field:
(i) Inside the sphere (r < R)
(ii) Outside the sphere (r > R)
- Solid Conducting Sphere Electric Field:
(i) Inside the sphere (r < R)
(ii) Outside the sphere (r > R)
- Concentric Conducting Spheres Electric Field:
(i) Inside the inner sphere (r < R1)
(ii) Between the spheres (R1 < r < R2)
(iii) Outside the outer sphere (r > R2)
- Cylindrical Capacitor Electric Field:
(i) Inside the inner cylinder (r < R1)
(ii) Between the cylinders (R1 < r < R2)
- Parallel-Plate Capacitor
Electric Field:
CBSE BOARD NUMERICALS
- Conducting Sphere (CBSE Board) Electric Field:
-
Two Point Charges Electric Field:
-
Dipole Electric Field:
-
Uniform Electric Field Electric Field: $$\vec{E}=\vec{E}Q+\vec{E}{uniform}
=\dfrac{1}{4\pi \epsilon_0}\dfrac{Q}{r^2}\hat{r}+E\hat{i}$$ -
Current-Carrying Wire Magnetic Force: