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Exploring Magnets – Formula & Equation Sheet
Essential formulas and equations from Curiosity, tailored for Class 6 in Science.
This one-pager compiles key formulas and equations from the Exploring Magnets chapter of Curiosity. Ideal for exam prep, quick reference, and solving time-bound numerical problems accurately.
Key concepts & formulas
Essential formulas, key terms, and important concepts for quick reference and revision.
Formulas
Magnetic Field (B) = μ₀ (I/2πr)
B represents the magnetic field strength (in teslas), μ₀ is the permeability of free space (4π × 10⁻⁷ Tm/A), I is current (in amperes), and r is distance from the wire (in meters). This formula describes how magnetic fields are generated around current-carrying wires.
F = q(E + v × B)
F is the force (in newtons) acting on a charged particle, q is the charge (in coulombs), E is the electric field (in volts/meter), v is the velocity (in meters/second), and B is the magnetic field (in teslas). This equation illustrates the motion of a charged particle in electric and magnetic fields.
F = BIl
F is the magnetic force (in newtons), B is the magnetic flux density (in teslas), I is the current (in amperes), and l is the length of the wire (in meters). This formula shows the force experienced by a current-carrying conductor in a magnetic field.
Magnetic Flux (Φ) = B × A × cos(θ)
Φ represents magnetic flux (in webers), B is magnetic field strength (in teslas), A is area (in square meters), and θ is the angle between the field lines and the normal to the surface. This expression calculates the amount of magnetic field passing through an area.
Induced EMF (ε) = -dΦ/dt
ε is the induced electromotive force (in volts), and dΦ/dt represents the rate of change of magnetic flux. This formula is based on Faraday's law of electromagnetic induction, which states that a change in magnetic flux can induce an EMF.
Lorentz Force: F = q(E + v × B)
This equation combines the forces experienced by a charged particle in electric (E) and magnetic (B) fields. F is the total force experienced, essential for understanding motion in electromagnetic fields.
Equations
Ohm’s Law: V = IR
V is voltage (volts), I is current (amperes), and R is resistance (ohms). It defines the relationship between current and voltage in a conductor. Useful for circuit-based questions.
Total Resistance in Series: R_total = R₁ + R₂ + ... + Rₙ
R_total is the total resistance (in ohms), while R₁, R₂, ... Rₙ are individual resistances in series. This equation helps in calculating the overall resistance in a series circuit.
Total Resistance in Parallel: 1/R_total = 1/R₁ + 1/R₂ + ... + 1/Rₙ
R_total is the total resistance (in ohms), and R₁, R₂, ... Rₙ are individual resistances in parallel. This relationship allows for calculation of equivalent resistance in a parallel circuit.
Charge (Q) = It
Q represents charge (in coulombs), I is current (in amperes), and t is time (in seconds). This relationship is fundamental for understanding how charge flows in circuits.
Energy (E) = VQ
E is energy (in joules), V is voltage (in volts), and Q is charge (in coulombs). This formula calculates the energy transferred by an electric charge in a circuit, vital for energy-related problems.
Power (P) = IV
P represents power (in watts), I is current (in amperes), and V is voltage (in volts). This equation relates the power consumed in an electrical circuit to current and voltage.
