Electric Current
NIOS · Class 12 · Physics
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See them allDefine electric current. Write its SI unit and formula.
Answer
Electric current is the rate of flow of electric charge through a cross-sectional area placed perpendicular to the direction of flow. Formula: I = ΔQ / Δt For instantaneous current: I = dq/dt SI Uni…
6.0 × 10¹⁶ electrons pass through any cross-section of a wire per second. Find the current in the wire.
Answer
Given: Number of electrons per second, n = 6.0 × 10¹⁶ Charge on electron, e = 1.6 × 10⁻¹⁹ C Time, Δt = 1 s Step 1: Find total charge ΔQ = n × e = 6.0 × 10¹⁶ × 1.6 × 10⁻¹⁹ ΔQ = 9.6 × 10⁻³ C Step 2: C…
State Ohm's Law. Write its mathematical form and state its limitations.
Answer
Ohm's Law: The electric current through a conductor is directly proportional to the potential difference across it, provided physical conditions (temperature, pressure) remain unchanged. Mathematical…
A 220V electricity supply powers a bulb drawing 0.2A current. Find the resistance of the bulb.
Answer
Given: V = 220 V I = 0.2 A Formula: R = V / I (Ohm's Law) Step 1: Apply formula R = 220 / 0.2 Answer: R = 1100 Ω Real-world context: This is similar to a standard home bulb connected to a 220V su…
What is resistivity? Give its formula, unit, and explain how it differs from resistance.
Answer
Resistivity (ρ): A property of the material of a conductor. It is the resistance offered by a wire of 1 metre length and 1 m² area of cross-section. Formula: R = ρ × (l / A) Therefore: ρ = RA / l Un…
A conducting wire is 60 m long with radius 0.5 cm. A potential difference of 5.0 V produces a current of 2.5 A. Calculate the resistivity of the wire.
Answer
Given: l = 60.0 m Radius r = 0.5 cm = 5.0 × 10⁻³ m V = 5.0 V I = 2.5 A Step 1: Find Resistance R = V/I = 5.0/2.5 = 2.0 Ω Step 2: Find Area of Cross-Section A = πr² = 3.14 × (5.0 × 10⁻³)² A = 3.14 × …
Two copper wires A and B have the same length. Diameter of A is twice that of B. Compare their resistances.
Answer
Given: lₐ = l_b = l (same length) d_A = 2 d_B → rₐ = 2r_b Formula: R = ρl / A = ρl / (πr²) Step 1: Rₐ = ρl / (πrₐ²) R_B = ρl / (πr_b²) Step 2: Take ratio Rₐ / R_B = r_b² / rₐ² Step 3: Substitute…
What is the equivalent resistance when resistors R₁, R₂, R₃ are connected in SERIES? Explain with the key property of series circuits.
Answer
Series Combination: R_eq = R₁ + R₂ + R₃ + ... Key Properties: 1. Same current (I) flows through all resistors 2. Voltage divides: V = V₁ + V₂ + V₃ where V₁ = IR₁, V₂ = IR₂, V₃ = IR₃ 3. Equivalent …
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