Class 12 Physics Calculators

⚡ Electrostatics 8 Calculators

Coulomb's Law

Charge q₁ (μC):

Charge q₂ (μC):

Distance r (cm):

F = 5.39 N

F = k·q₁·q₂/r²

Electric Field

Charge Q (μC):

Distance r (cm):

E = 1.12 × 10⁶ N/C

E = kQ/r²

Electric Potential

Charge Q (μC):

Distance r (cm):

V = 2.25 × 10⁵ V

V = kQ/r

Capacitance

Area A (cm²):

Distance d (mm):

Dielectric κ:

C = 88.5 pF

C = κε₀A/d

Series Capacitors

C₁ (μF):

C₂ (μF):

C₃ (μF):

C_eq = 5.45 μF

1/C_eq = 1/C₁ + 1/C₂ + 1/C₃

Parallel Capacitors

C₁ (μF):

C₂ (μF):

C₃ (μF):

C_eq = 60 μF

C_eq = C₁ + C₂ + C₃

Energy in Capacitor

C (μF):

Voltage V (V):

U = 7.2 mJ

U = ½CV²

Dipole Torque

p (×10⁻²⁹ C·m):

E (N/C):

Angle θ (°):

τ = 1.00 × 10⁻²⁶ N·m

τ = pE sinθ

🔋 Current Electricity 7 Calculators

Ohm's Law

Voltage V (V):

Resistance R (Ω):

I = 1.20 A

I = V/R

Resistivity

R (Ω):

Length L (m):

Area A (mm²):

ρ = 5.00 × 10⁻⁶ Ω·m

ρ = R·A/L

Series Resistors

R₁ (Ω):

R₂ (Ω):

R₃ (Ω):

R_eq = 60 Ω

R_eq = R₁ + R₂ + R₃

Parallel Resistors

R₁ (Ω):

R₂ (Ω):

R₃ (Ω):

R_eq = 5.45 Ω

1/R_eq = 1/R₁ + 1/R₂ + 1/R₃

Wheatstone Bridge

R₁ (Ω):

R₂ (Ω):

R₃ (Ω):

R₄ = 300 Ω (balance)

R₁/R₂ = R₃/R₄

Cell EMF

EMF ε (V):

Internal r (Ω):

External R (Ω):

I = 1.14 A

I = ε/(R + r)

Electrical Power

Voltage V (V):

Current I (A):

P = 1100 W

P = VI

🧲 Magnetic Effects 8 Calculators

B due to Long Wire

Current I (A):

Distance r (cm):

B = 4.00 × 10⁻⁵ T

B = μ₀I/(2πr)

Biot-Savart Law

I (A):

dl (cm):

r (cm):

Angle θ°:

dB = 5.00 × 10⁻⁹ T

dB = (μ₀/4π)·(I dl sinθ/r²)

Lorentz Force

q (μC):

v (×10⁶ m/s):

B (T):

Angle θ°:

F = 8.00 × 10⁻¹⁹ N

F = qvB sinθ

Force between Wires

I₁ (A):

I₂ (A):

d (cm):

L (m):

F = 2.00 × 10⁻⁴ N

F/L = μ₀I₁I₂/(2πd)

Torque on Loop

I (A):

A (cm²):

N turns:

B (T):

Angle θ°:

τ = 0.05 N·m

τ = N I A B sinθ

Cyclotron Frequency

q (×10⁻¹⁹ C):

m (×10⁻²⁷ kg):

B (T):

f = 1.52 × 10⁷ Hz

f = qB/(2πm)

Galvanometer → Ammeter

Ig (mA):

G (Ω):

I (A):

S = 1.01 Ω

S = (Ig·G)/(I - Ig)

Galvanometer → Voltmeter

Ig (mA):

G (Ω):

V (V):

R = 900 Ω

R = (V/Ig) - G

⚙️ EMI & AC 7 Calculators

Magnetic Flux

B (T):

A (cm²):

Angle θ°:

Φ = 0.005 Wb

Φ = B·A·cosθ

Faraday's Law

N turns:

ΔΦ (Wb):

Δt (s):

ε = 10 V

ε = -N·ΔΦ/Δt

Inductance

N turns:

A (cm²):

l (cm):

L = 6.28 × 10⁻⁴ H

L = μ₀N²A/l

Reactance

f (Hz):

L/C value:

XL = 31.42 Ω

XL = 2πfL, XC = 1/(2πfC)

Impedance

R (Ω):

XL (Ω):

XC (Ω):

Z = 14.14 Ω

Z = √[R² + (XL - XC)²]

Resonance

L (mH):

C (μF):

f₀ = 159.15 Hz

f₀ = 1/(2π√(LC))

Transformer

Np:

Ns:

Vp (V):

Vs = 110 V

Vs/Vp = Ns/Np

✨ Ray Optics 8 Calculators

Mirror Formula

f (cm):

u (cm):

v = 60.00 cm

1/f = 1/v + 1/u

Mirror Magnification

v (cm):

u (cm):

m = -2.00

m = -v/u

Lens Formula

f (cm):

u (cm):

v = 60.00 cm

1/f = 1/v - 1/u

Lens Magnification

v (cm):

u (cm):

m = 2.00

m = v/u

Lens Maker's Formula

R₁ (cm):

R₂ (cm):

f = 20.00 cm

1/f = (n-1)(1/R₁ - 1/R₂)

Prism Deviation

A (°):

i (°):

δ = 37.19°

δ = i + e - A

Critical Angle

n₁ (denser):

n₂ (rarer):

θ_c = 41.81°

sin θ_c = n₂/n₁

Optical Fiber

n₁ (core):

n₂ (cladding):

NA = 0.244, θₐ = 14.1°

NA = √(n₁² - n₂²)

🌈 Wave Optics 6 Calculators

Young's Double Slit

λ (nm):

d (mm):

D (m):

β = 1.18 mm

β = λD/d

Single Slit

λ (nm):

a (mm):

D (m):

Width = 11.78 mm

Width = 2λD/a

Resolving Power

D (cm):

λ (nm):

θ_min = 6.71 × 10⁻⁶ rad

θ_min = 1.22λ/D

Malus Law

I₀ (W/m²):

θ (°):

I = 50.00 W/m²

I = I₀ cos²θ

Brewster's Angle

n₁:

n₂:

θ_p = 56.31°

tan θ_p = n₂/n₁

Coherence Length

λ (nm):

Δλ (pm):

L_c = 0.35 mm

L_c = λ²/Δλ

💫 Dual Nature & Atoms 7 Calculators

Photoelectric Effect

λ (nm):

φ₀ (eV):

K_max = 1.11 eV

K_max = hc/λ - φ₀

de Broglie

Energy (eV):

λ = 0.123 nm

λ = h/p

Bohr Radius

r₁ = 0.0529 nm

r_n = (n²/Z) × 0.0529 nm

Bohr Energy

E₁ = -13.6 eV

E_n = -(13.6 × Z²/n²) eV

Photon Energy

λ (nm):

E = 2.48 eV

E = hc/λ

Rydberg Formula

nᵢ:

n_f:

λ = 65.8 nm

1/λ = R(1/n_f² - 1/nᵢ²)

Moseley's Law

√ν = 7.43 × 10⁸, λ = 1.54 Å

√ν = a(Z - b)

☢️ Nuclei & Semiconductors 7 Calculators

Radioactive Decay

N₀:

t½ (years):

t (years):

N = 886

N = N₀·(1/2)^(t/t½)

Half-Life

λ (s⁻¹):

t½ = 5728 years

t½ = ln(2)/λ

Binding Energy

M (u):

BE = 28.30 MeV

BE = [Z·m_p + N·m_n - M]·931.5

Nuclear Density

ρ = 2.3 × 10¹⁷ kg/m³

R = R₀·A¹ᐧ³

Diode Current

I₀ (μA):

V (V):

T (K):

I = 12.8 mA

I = I₀[e^(eV/kT) - 1]

Zener Regulator

V_in (V):

V_z (V):

R_s (Ω):

R_L (Ω):

I_z = 48 mA

I_z = (V_in - V_z)/R_s - V_z/R_L

Logic Gates

Y = 1

Truth table

📚 PhysicsAce

📌 Select Unit / Chapter

Coulomb's Law

Electric Field

Electric Potential

Capacitance

Series Capacitors

Parallel Capacitors

Energy in Capacitor

Dipole Torque

Ohm's Law

Resistivity

Series Resistors

Parallel Resistors

Wheatstone Bridge

Cell EMF

Electrical Power

B due to Long Wire

Biot-Savart Law

Lorentz Force

Force between Wires

Torque on Loop

Cyclotron Frequency

Galvanometer → Ammeter

Galvanometer → Voltmeter

Magnetic Flux

Faraday's Law

Inductance

Reactance

Impedance

Resonance

Transformer

Mirror Formula

Mirror Magnification

Lens Formula

Lens Magnification

Lens Maker's Formula

Prism Deviation

Critical Angle

Optical Fiber

Young's Double Slit

Single Slit

Resolving Power

Malus Law

Brewster's Angle

Coherence Length

Photoelectric Effect

de Broglie

Bohr Radius

Bohr Energy

Photon Energy

Rydberg Formula

Moseley's Law

Radioactive Decay

Half-Life

Binding Energy

Nuclear Density

Diode Current

Zener Regulator

Logic Gates

Partager :

J’aime ça :