Two hollow conducting spheres of radii R1 and R2 (R1 >>R2) have equal charges. The potential would be:
- More on bigger sphere
- More on smaller sphere
- Equal on both the sphere
- Dependent on the material properly of the sphere
The Correct Option is B
Solution and Explanation
\(V = \frac{KQ}{R}\)
since \(R_1 > R_2\)
\(V_1 < V_2\)
Potential will be more on smaller sphere.
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Concepts Used:
Electric Potential
Electric potential is a fundamental concept in physics that helps us understand the behavior of electric charges and the effects of electric fields. It is a scalar quantity that describes the amount of electric potential energy per unit charge at a specific point in space.
The electric potential at a point is defined as the work done per unit charge in bringing a positive test charge from infinity to that point, without accelerating it. It is denoted by the symbol V and is measured in volts (V).
The electric potential is influenced by the presence of electric charges and electric fields. In the vicinity of a positive charge, the electric potential is high, indicating that there is a lot of potential energy associated with the charge. Conversely, in the vicinity of a negative charge, the electric potential is low.
The electric potential can be thought of as a "hill" or "valley" analogy, where charges are like objects that can roll downhill from higher potential (hilltops) to lower potential (valleys). The potential difference between two points, also known as voltage, determines the direction and magnitude of the electric field.
Mathematically, the electric potential can be calculated using the formula V = kQ/r, where k is the electrostatic constant, Q is the charge, and r is the distance from the charge.
Electric potential plays a crucial role in various applications, such as electric circuits, capacitors, and particle accelerators. It helps us analyze and understand the behavior of electric systems and provides a foundation for many areas of electrical engineering and physics.