EXPONENTIAL DECAY OF DISCHARGING CAPACITOR THROUGH RESISTOR | 2nd Year Physics New Syllabus

Exponential Decay of a Discharging Capacitor | Chapter 16 Electrostatics | 12th Class Physics New Syllabus — this lecture explains the complete concept of exponential decay in a discharging capacitor through a resistor according to the new Punjab Boards syllabus. In this lecture, we explain what exponential decay means and why the charge of a capacitor decreases rapidly at first and then more slowly with time. The exponential decay equation is explained clearly, along with the meaning of each quantity in the equation. The exponential decay of charge, voltage, and current is discussed with their important equations. The charge-time graph is also explained to understand how the discharge curve changes with time. The concept of the RC time constant is explained in simple terms, including its physical meaning and its effect on the rate of discharge. A water tank analogy is also used to make the concept of exponential decay easier to understand. The lecture further explains the charge remaining after one time constant and why it becomes approximately 37% of its initial value. The half-life of a discharging capacitor is also derived step by step, including the relation between half-life and the time constant. Important results covered in this lecture include: • Exponential decay of charge • Exponential decay of voltage • Exponential decay of current • Time constant of an RC circuit • Charge-time graph of a discharging capacitor • Charge remaining after one time constant • Half-life of a discharging capacitor • Relation between half-life and time constant • Effect of time constant on the rate of discharge This lecture is useful for board exams, MCQs, short questions, conceptual questions, numericals, derivations, and constructed response questions. For 12th Class Physics, 2nd Year Physics, FSc Part 2 Physics, ICS Part 2 Physics, and Intermediate Part 2 students preparing for Punjab Boards. Subscribe to Inter Physics Lectures for complete chapter-wise Physics lectures, concepts, derivations, numericals, and exercise questions. #ExponentialDecay #Chapter16Electrostatics #12thClassPhysics