Photo AI

The initial potential difference across a capacitor is $V_0$ - AQA - A-Level Physics - Question 22 - 2019 - Paper 2

Question icon

Question 22

The-initial-potential-difference-across-a-capacitor-is-$V_0$-AQA-A-Level Physics-Question 22-2019-Paper 2.png

The initial potential difference across a capacitor is $V_0$. The capacitor discharges through a circuit of time constant $T$. The base of natural logarithms is $e$.... show full transcript

Worked Solution & Example Answer:The initial potential difference across a capacitor is $V_0$ - AQA - A-Level Physics - Question 22 - 2019 - Paper 2

Step 1

What is the potential difference across the capacitor after time $T$?

96%

114 rated

Answer

To find the potential difference across the capacitor at time TT, we can use the formula for the discharging of a capacitor, which is given by:

V(t)=V0e−t/TV(t) = V_0 e^{-t/T}

Substituting tt with TT, we have:

V(T)=V0e−T/T=V0e−1=V0eV(T) = V_0 e^{-T/T} = V_0 e^{-1} = \frac{V_0}{e}

Therefore, the potential difference across the capacitor after time TT is V0e\frac{V_0}{e}, which corresponds to option B.

Join the A-Level students using SimpleStudy...

97% of Students

Report Improved Results

98% of Students

Recommend to friends

100,000+

Students Supported

1 Million+

Questions answered

Other A-Level Physics topics to explore

Use of SI Units & Their Prefixes

Physics - AQA

Limitation of Physical Measurements

Physics - AQA

Atomic Structure & Decay Equations

Physics - AQA

Classification of Particles

Physics - AQA

Conservation Laws & Particle Interactions

Physics - AQA

The Photoelectric Effect

Physics - AQA

Energy Levels & Photon Emission

Physics - AQA

Longitudinal & Transverse Waves

Physics - AQA

Stationary Waves

Physics - AQA

Interference

Physics - AQA

Diffraction

Physics - AQA

Refraction

Physics - AQA

Scalars & Vectors

Physics - AQA

Moments

Physics - AQA

Equations of Motion

Physics - AQA

Newtons Laws of Motion

Physics - AQA

Linear Momentum & Conservation

Physics - AQA

Work, Energy & Power

Physics - AQA

Bulk Properties of Solids

Physics - AQA

The Young Modulus

Physics - AQA

Current–Voltage Characteristics

Physics - AQA

Resistance & Resistivity

Physics - AQA

Circuits & The Potential Divider

Physics - AQA

Electromotive Force & Internal Resistance

Physics - AQA

Circular Motion

Physics - AQA

Simple Harmonic Motion

Physics - AQA

Forced Vibrations & Resonance

Physics - AQA

Thermal Energy Transfer

Physics - AQA

Ideal Gases

Physics - AQA

Molecular Kinetic Theory Model

Physics - AQA

Gravitational Fields

Physics - AQA

Gravitational Potential

Physics - AQA

Orbits of Planets & Satellites

Physics - AQA

Electric Fields

Physics - AQA

Electric Potential

Physics - AQA

Capacitance

Physics - AQA

Capacitor Charge & Discharge

Physics - AQA

Magnetic Fields

Physics - AQA

Electromagnetic Induction

Physics - AQA

Alternating Currents & Transformers

Physics - AQA

Alpha, Beta & Gamma Radiation

Physics - AQA

Radioactive Decay

Physics - AQA

Nuclear Instability & Radius

Physics - AQA

Nuclear Fusion & Fission

Physics - AQA

Telescopes

Physics - AQA

Classification of Stars

Physics - AQA

Cosmology

Physics - AQA

Rotational Dynamics

Physics - AQA

Thermodynamics & Engines

Physics - AQA

The Discovery of the Electron

Physics - AQA

Special Relativity

Physics - AQA

;