Q16.As shown in figure, a cuboid lies in a region with electric field E = 2x2ˆi −4yˆj + 6ˆk N C−1 . The magnitude of charge within the cuboid is nε0 C. The value of n is ______ (if dimension of cuboid is 1 × 2 × 3 m3 )
What This Question Tests
This question combines Gauss's law with the concept of divergence of an electric field. It requires calculating the divergence of the given electric field to find the charge density and then the total charge within the cuboid.
Concepts Tested
Formulas Used
Φ = ∫ E ⋅ dA = Q_enclosed / ε0
Divergence theorem: ∫ (∇ ⋅ E) dV = ∫ E ⋅ dA
∇ ⋅ E = ∂Ex/∂x + ∂Ey/∂y + ∂Ez/∂z
📚 NCERT Sections This Tests
1.18 — A Point Charge Of 2.0 Mc Is At The Centre Of A Cubic Gaussian
Physics Class 11 · Chapter 1
1.18 A point charge of 2.0 mC is at the centre of a cubic Gaussian surface 9.0 cm on edge. What is the net electric flux through the surface?
1.16 — Careful Measurement Of The Electric Field At The Surface Of A Black
Physics Class 11 · Chapter 1
1.16 Careful measurement of the electric field at the surface of a black box indicates that the net outward flux through the surface of the box is 8.0 × 103 Nm2/C. (a) What is the net charge inside the box? (b) If the net outward flux through the surface of the box were zero, could you conclude that there were no charges inside the box? Why or Why not?
1.14 — Consider A Uniform Electric Field E = 3 × 103 Î N/C. (A) What Is The
Physics Class 11 · Chapter 1
1.14 Consider a uniform electric field E = 3 × 103 î N/C. (a) What is the flux of this field through a square of 10 cm on a side whose plane is parallel to the yz plane? (b) What is the flux through the same square if the normal to its plane makes a 60° angle with the x-axis?
📋 Question Details
- Chapter
- Electrostatics
- Topic
- Gauss's Law and Divergence
- Year
- 2023
- Shift
- 30 Jan Shift 2
- Q Number
- Q16
- Type
- Numerical
- NCERT Ref
- Class 12 Physics Ch 1: Electric Charges and Fields
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