Physics Electrostatics ETEA 2023
PMDC Verified Question 47 of 131
Q.164 The slope of the charge-time graph for a charging capacitor gives:
A
Current
B
Voltage
C
Force
D
Energy
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option A: Current
1. Concept:

In physics, the slope of any graph is strictly defined by the change in the y-axis divided by the change in the x-axis.

2. Formula:

$$ Slope = \frac{\Delta y}{\Delta x} = \frac{\Delta Q}{\Delta t} $$

3. Solution:

  • The y-axis represents Charge (\( Q \)), and the x-axis represents Time (\( t \)).


  • The mathematical rate of flow of charge over time (\( \Delta Q / \Delta t \)) is the fundamental definition of Electric Current (\( I \)).


4. Why other options are incorrect:

Voltage relates charge to capacitance (\( V = Q/C \)). Energy relates charge to voltage (\( U = \frac{1}{2} QV \)). Only current involves a time derivative.

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