NEB Class 11 • Physics • Electrostatics
Electric Field: NEB Class 11 Physics Guide
Replace action-at-a-distance confusion with a field at every point. Calculate the field from sources, add it vectorially, and interpret line diagrams without treating lines as physical threads.
- E=F/q and point-charge field
- Vector superposition and symmetry
- Field lines, conductors and worked examples
Curriculum boundary
From source charge to force on another charge
The CDC secondary curriculum includes electric field due to point charges and charge distributions; check the CDC Physics Grade 11 page. The concepts align with OpenStax electric field and its University Physics field treatment.
Review Electric Charges and Vectors Study Guide first.
Field concept
Separate source, field point and test charge
Source charges create a field. The field exists at a chosen point whether or not a test charge is present. A sufficiently small positive test charge defines direction without significantly disturbing the source distribution. Once E is known, force on any charge q is F=qE; a negative charge experiences force opposite to E.
| Quantity | Depends on | Direction |
|---|---|---|
| Source field E | Source charges, positions, medium | Force on positive test charge |
| Force F=qE | Field and placed charge q | With E for q>0, opposite for q<0 |
| Field line | Chosen visual representation | Tangent gives E direction |
Point source
Use inverse-square magnitude and radial direction
For point charge Q, E=k|Q|/r². The magnitude is independent of the test charge. Around positive Q vectors point radially outward; around negative Q they point inward.
Positive source
Q=+2.0 nC at r=5.0 cm gives E=(8.99×10⁹)(2.0×10⁻⁹)/(0.050)²≈7.19×10³ N/C, directed away from Q.
Force on a negative charge
Place q=−3.0 μC in a 400 N/C eastward field. F=qE=−1.20×10⁻³ N in signed x form, so the physical force is 1.20 mN west.
Doubling distance reduces E to one quarter. A graph of E against 1/r² is linear through the origin for an ideal point charge, with gradient k|Q|.
Multiple sources
Add fields at one point, not charges by convenience
- Mark field point P separately from source charges.
- For each source, draw direction at P: away from +, toward −.
- Calculate each magnitude using its distance to P.
- Resolve into common axes.
- Add x and y components.
- Recover resultant magnitude and direction.
Midpoint of equal like charges
Two equal positive charges are equally spaced around P. Their fields at P are equal and opposite, so E=0. The electric potential need not be zero; field and potential are different quantities.
Midpoint of opposite charges
For +Q on the left and −Q on the right, both fields at the midpoint point right—from +Q and toward −Q—so magnitudes add.
Perpendicular components
Fields 6.0×10³ N/C east and 8.0×10³ N/C north give E=1.0×10⁴ N/C at 53.1° north of east.
Visual model
Read field lines without making them physical
- Lines start on positive charge or infinity and end on negative charge or infinity.
- The tangent gives field direction.
- Closer line spacing represents stronger field in a consistent diagram.
- Line number is drawn proportional to source magnitude by convention.
- Field lines never cross because E has one direction at a point.
- Lines are a visualisation; the field exists between drawn lines.
Uniform parallel lines model a nearly uniform field, such as the central region between large oppositely charged plates when edge effects are neglected. Curved, varying-density lines represent non-uniform fields.
Electrostatic equilibrium
Free charges rearrange until the internal field vanishes
In an ideal conductor at electrostatic equilibrium, the field inside conducting material is zero; otherwise free charges would continue moving. Excess charge resides on the surface, and the field immediately outside is perpendicular to the surface. Sharp curvature can produce larger surface charge density and stronger nearby field.
Electrostatic shielding follows from conductor charge rearrangement. Real protection depends on a continuous conducting enclosure and safe grounding/context; never use classroom electrostatics as permission to approach live power lines or lightning.
Mapping and simulation
Predict vectors before revealing a field map
Place source charges on a coordinate grid and choose five field points. At each point draw qualitative component arrows, rank magnitudes by charge and distance, then calculate. Only afterward compare with PhET Charges and Fields.
A simulation uses ideal point charges and a display scale. It cannot replace discussion of measurement uncertainty, finite charge size or disturbance by a physical probe. Record which prediction changed and why.
Exam readiness
Common mistakes and practice tasks
- Do not include the test charge in E=k|Q|/r².
- Define E direction with a positive test charge.
- Reverse force, not field, for a negative placed charge.
- Add fields as vectors at the same point.
- Use each source-to-point distance.
- Do not let field lines cross.
- Distinguish zero field from absence of sources.
- State symmetry and point-charge assumptions.
- Find E 0.20 m from +5 μC.
- Find force on −2 nC at that point.
- Solve midpoint fields for like and unlike pairs.
- Find a zero-field point for unequal like charges on a line.
- Sketch a dipole and two unequal like charges.
- Explain conductor equilibrium and shielding.
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Frequently asked questions
Questions students ask about electric fields
Does a field require a test charge to exist?
No. Source charges create the field; a small positive test charge is a conceptual probe used to define and measure it.
Why is field direction based on a positive charge?
It provides one consistent convention. A negative charge placed there experiences force opposite to the field direction.
Can electric field be zero between charges?
Yes, at some points vector contributions can cancel. The location depends on source signs and magnitudes.
Why can field lines not cross?
Crossing would assign two electric-field directions to the same point, which is impossible for a well-defined vector field.
Is zero field the same as zero potential?
No. Field is the spatial rate and direction of potential change; equal like charges have zero field but non-zero potential at their midpoint.
Where can I get electric-field tuition?
Call 9846662070 for current online or physical NEB tuition schedules and fees.
References and next steps
Sources and related study guides
- CDC Nepal: Physics Grade 11
- CDC Nepal: Secondary Curriculum
- OpenStax: Electric Field
- OpenStax University Physics: Electric Field
- OpenStax: Field Lines
- PhET: Charges and Fields
Continue with the Electric Field Study Guide and then the practice set. Curriculum scope and sources were checked on 2 August 2026; follow current CDC, NEB and college instructions if requirements change.
Continuous distributions
From point charges to distributed sources
A real charged rod or plate can be divided into many small elements dq. Each element contributes dE with its own direction and distance, and the total is the vector integral. Symmetry may cancel components before integration.
For a uniformly charged ring, fields from opposite elements cancel sideways components on its axis while axial components add. At the centre the net field is zero even though every element contributes. Moving along the axis produces a nonzero field that first increases and eventually falls with distance.
This extension explains why adding total charge at the geometric centre is not generally valid. Treating a distribution as a point charge requires distance much larger than its size or a symmetry result valid outside the distribution.
Uniform-field model
Connect parallel plates, force and motion
Between large oppositely charged parallel plates, far from edges, the field can be approximated as uniform: vectors have nearly constant magnitude and point from the positive plate to the negative plate. Edge regions curve and weaken the uniform model.
Charged particle in a uniform field
A +2.0 μC particle in E=3.0×10⁴ N/C downward experiences F=qE=0.060 N downward. A −2.0 μC particle experiences 0.060 N upward. If mass is known and other forces are negligible, acceleration follows a=F/m.
A suspended charged droplet can involve electric force, weight and possibly drag or buoyancy. Draw all forces before equating magnitudes. “Stationary” means zero resultant, not absence of field or gravity.
Boundary check: before accepting a field expression, test units, direction, symmetry and limits. Very far from a compact distribution with nonzero total charge, the leading field should resemble that total point charge. At a symmetry centre, paired contributions may cancel even when local fields are individually large. Near extended sources, a centre-point approximation may fail.
For any diagram, place a hypothetical positive probe at three points and draw local arrows. Then place a negative probe and reverse only the force arrows. This repeated contrast prevents field lines, particle trajectories and forces from being treated as the same thing. A moving charge does not necessarily travel along a field line because inertia and other forces affect its path.
Ask about online or physical tuition
For focused Class 11 and Class 12 subject tuition, lesson clarification, worked-example practice and exam preparation, call 9846662070. Class mode, timetable, teacher availability and fees should be confirmed directly before enrolment.
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