Two spheres of radius `R_(1) ` and `R_(2)` respectively are charged and joined by wire. The ratio of electric field of spheres is

Options

A. `(R_(2)^(2))/(R_(1)^(2))`
B. `(R_(1)^(2))/(R_(2)^(2))`
C. `(R_(2))/(R_(1))`
D. `(R_(1))/(R_(2))`

Explanation

To solve the problem of finding the ratio of the electric fields of two charged spheres of radii \( R_1 \) and \( R_2 \) that are connected by a wire, we can follow these steps:

### Step 1: Understand the concept of electric potential
When two conductive spheres are connected by a wire, they will reach the same electric potential. The electric potential \( V \) of a charged sphere is given by the formula:
\[ V = k \frac{Q}{R} \]
where \( k \) is Coulomb's constant, \( Q \) is the charge on the sphere, and \( R \) is the radius of the sphere.
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