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In this Class 12 Physics topic from Chapter 1, Electric Charges and Fields, students learn how electric flux is related to the net charge enclosed by a closed surface through Gauss’s law. The topic develops the idea of Gaussian surfaces, uses symmetry to simplify electric-field calculations, and applies the law to charged spherical shells, uniformly charged spheres, infinite line charges, and plane sheets. It also helps students understand the electric field inside conductors and choose suitable surfaces for solving electrostatic problems.
TOPIC PRACTICE
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11 questions
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Easy · Level 7View options
Infinitely long uniformly charged line
Single point charge
Infinite plane sheet
Small dipole
Easy · Level 7View options
Infinite uniformly charged plane sheet
Single point charge
Small sphere only
A small dipole
Easy · Level 7View options
Like the same total charge placed at the centre
Always zero
Parallel to the surface
Independent of distance
Easy · Level 7View options
Zero
Whole charge
Half charge
Infinite charge
Easy · Level 7View options
Electric field in the cavity is zero
Field in the cavity is maximum
Field in the cavity is always outward
Net charge in cavity is infinite
Easy · Level 7View options
Positive
Negative
Zero
Always undecidable
Easy · Level 7View options
Negative
Positive
Zero
Infinite
Easy · Level 7View options
Zero
Positive
Negative
Infinite
Easy · Level 7View options
Where charge distribution is simple and symmetric
Where charge distribution is highly asymmetric
Where the surface is open
Where electric field changes with time
Easy · Level 7View options
Stronger
Weaker
Zero
Independent of distance and always zero
Easy · Level 7View options
Spherical, cylindrical, and plane
Triangle, square, and pentagon
Sound, light, and heat
Liquid, gas, and solid
Question 1EasyLevel 7
In which charge distribution is cylindrical symmetry commonly found?
Correct answer: A
Step 1: Cylindrical symmetry has a long axis. Step 2: An infinitely long uniformly charged line has this symmetry around it. Step 3: Choose a cylindrical Gaussian surface for such cases.
Step 1: Plane symmetry means the surface is very large and uniformly spread. Step 2: An infinite uniformly charged sheet is the ideal example. Step 3: A pillbox Gaussian surface is useful here.
By Gauss's law, the field outside a spherical shell is like what?
Correct answer: A
Step 1: A spherical shell has spherical symmetry. Step 2: A Gaussian sphere outside encloses the whole charge. Step 3: Hence the outside field behaves like that of a point charge at the centre.
How much charge is enclosed by a Gaussian surface inside a spherical shell?
Correct answer: A
Step 1: Charge of a spherical shell lies on its surface. Step 2: A Gaussian surface inside the shell encloses no charge. Step 3: Therefore the enclosed charge is zero.
Using Gauss's law, which conclusion is correct for the hollow cavity of a conductor if no charge is inside?
Correct answer: A
Step 1: In electrostatic equilibrium, field inside the conducting material is zero. Step 2: If there is no charge in the cavity, there is no source inside it. Step 3: Hence field in the cavity is zero.
If more field lines leave a Gaussian surface than enter it, what is the net enclosed charge?
Correct answer: A
Step 1: Field lines leaving the surface give positive outward flux. Step 2: If more lines leave than enter, total flux is positive. Step 3: Therefore net enclosed charge is positive.
If more field lines enter a Gaussian surface than leave it, what is the net enclosed charge?
Correct answer: A
Step 1: Lines entering the surface give negative contribution to outward flux. Step 2: If entering lines are more, total flux is negative. Step 3: Therefore net enclosed charge is negative.
If equal field lines enter and leave a Gaussian surface, what is the net enclosed charge?
Correct answer: A
Step 1: Entering lines give negative flux. Step 2: Leaving lines give positive flux. Step 3: If both are equal, total flux and enclosed charge are zero.
For what type of questions does Gauss's law give direct answers?
Correct answer: A
Step 1: Gauss's law is a general law. Step 2: Its direct use is easiest when good symmetry exists. Step 3: In school-level problems, identifying symmetry is the first step.
If surface charge density on a conductor is larger, how will the electric field near the surface be?
Correct answer: A
Step 1: Field near a conductor surface is related to surface charge density. Step 2: Larger surface charge density indicates stronger field. Step 3: Remember the direct relation between surface charge and field.
What are the three most common symmetries in applications of Gauss's law?
Correct answer: A
Step 1: Symmetry is very important in Gauss's law calculations. Step 2: Point or sphere gives spherical, line gives cylindrical, and sheet gives plane symmetry. Step 3: Identify the symmetry type quickly while reading the question.
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