When a dielectric material with dielectric constant K is introduced into a capacitor, its capacitance increases. If the dielectric completely fills the space between the plates, the new capacitance is C' = K C, where C is the original capacitance. If a dielectric slab of thickness 't' is inserted into a capacitor with plate separation 'd', the new capacitance is given by C' = (ε₀ A) / (d - t + t/K).
An ebonite plate (K = 3), 6 mm thick, is introduced between the parallel plates of a capacitor of plate area 2 × 10⁻² m² and plate separation is 0.01 m. The capacitance of the capacitor would be (ε₀ = 8.85 × 10⁻¹² F/m)
Asked in Co operative Supervisor & Environment Supervisor (Group C) Exam 2023 · Topic: Conductivity (Dielectric properties: Dielectric constant, polarization, and dielectric breakdown (related to insulators))
More Physics questions
- A parallel-plate capacitor of capacitance C₁ is made using two gold plates. Another parallel- plate capacitor of capacitance C₂ is made using two aluminium plates with same plate separation, and all the four plates are of same area. If ρg and ρa are respectively resistivities of gold and aluminium, then which one of the following relations is correct?
- Two metallic wires made from copper have same length but the radius of wire 1 is half of that of wire 2. The resistance of wire 1 is R. If both the wires are joined together in series, the total resistance becomes
- We are given three copper wires of different lengths and different areas of cross-section. Which one of the following would have highest resistivity ?
- What is the correct sequence of resistivity of silver, nichrome and glass at room temperature ?
- Two wires are made having same length l and area of cross-section A. Wire 1 is made of copper and wire 2 is made of aluminium. It is given that the electrical conductivity of copper is more than that of aluminium. In this context, which one of the following statements is correct?
- A metal wire of length l and diameter d has a resistance R. What would be the resistance of another wire of the same metal and of same length but having double the diameter ?
- Which one of the following is the most appropriate reason for aircraft being equipped with conducting tyres ?
- The electrical resistance of a wire varies directly with its length and inversely with the square of its diameter. If a wire with a length of 200 cm and a diameter of one-quarter of a centimeter has a resistance of 20 ohms, find the electrical resistance in a 500 cm wire with the same diameter