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Home > Mathematics Homework Help > Solution

V_3 = 1.2\,A x 2

Asked on March 28, 2026|Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on March 28, 2026
$$ V_3 = 1.2\,\text{A} \times 2\,\Omega $$ $$ V_3 = 2.4\,\text{V} $$ The voltmeter reading will be $\boxed{\text{2.4 V}}$. 8. (a) i) • Increase the speed of the magnet: Moving the magnet faster into or out of the solenoid increases the rate of change of magnetic flux linkage, which induces a larger electromotive force (e.m.f.) and thus a larger current. • Increase the number of turns in the solenoid: A solenoid with more turns will have more conductors cutting the magnetic field lines for the same movement, leading to a larger induced e.m.f. and current. ii) Step 1: Apply Lenz's Law. As the North pole of the magnet moves into the solenoid, an induced current will flow to create a magnetic field that opposes this motion. To oppose the incoming North pole, end X of the solenoid must become a North pole. The polarity of end X of the solenoid is $\boxed{\text{North pole}}$. 8. (b) i) Points $\boxed{\text{A and D}}$ are in phase. Explanation: Both points A and D represent crests of the wave, meaning they have the same maximum positive displacement and are at the same stage of their oscillation. ii) The distance from $\boxed{\text{A to D}}$ represents one wavelength. Explanation: This distance covers one complete cycle of the wave, from one crest to the next consecutive crest. iii) Step 1: Identify given values. Wavelength, $\lambda = 0.8\,\text{m}$ Speed, $v = 20\,\text{m/s}$ Step 2: Use the wave speed formula to calculate frequency. The relationship between speed, frequency, and wavelength is $v = f \lambda$. Rearrange to solve for frequency: $f = \frac{v}{\lambda}$. $$ f = \frac{20\,\text{m/s}}{0.8\,\text{m}} $$ $$ f = 25\,\text{Hz} $$ The frequency of the wave is $\boxed{\text{25 Hz}}$. iv) • Wave pulse: A single, non-repeating disturbance or short burst of energy that travels through a medium. • Wave train: A continuous series of periodic waves that propagates through a medium, consisting of multiple wave cycles. 8. (c) • Promoting the use of renewable energy sources: Shifting from fossil fuels to sources like solar, wind, and hydroelectric power reduces air pollution and greenhouse gas emissions. • Implementing stricter regulations on industrial emissions and waste disposal: This ensures that factories and industries release fewer pollutants into the air and water, and manage their waste responsibly.

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Home›Mathematics Homework Help›V_3 = 1.2\,A x 2
Q

V_3 = 1.2\,A x 2

March 28, 2026|Mathematics
V_3 = 1.2\,A x 2

V_3 = 1.2\,A x 2

ScanSolve AI

ScanSolve AI Answer

Answered on March 28, 2026

V3=1.2 A×2 ΩV_3 = 1.2\,A \times 2\,\OmegaV3​=1.2A×2Ω V3=2.4 VV_3 = 2.4\,VV3​=2.4V The voltmeter reading will be 2.4V\boxed{2.4 V}2.4V​.

8. (a) i) • Increase the speed of the magnet: Moving the magnet faster into or out of the solenoid increases the rate of change of magnetic flux linkage, which induces a larger electromotive force (e.m.f.) and thus a larger current. • Increase the number of turns in the solenoid: A solenoid with more turns will have more conductors cutting the magnetic field lines for the same movement, leading to a larger induced e.m.f. and current.

ii) Step 1: Apply Lenz's Law. As the North pole of the magnet moves into the solenoid, an induced current will flow to create a magnetic field that opposes this motion. To oppose the incoming North pole, end X of the solenoid must become a North pole. The polarity of end X of the solenoid is Northpole\boxed{North pole}Northpole​.

8. (b) i) Points AandD\boxed{A and D}AandD​ are in phase. Explanation: Both points A and D represent crests of the wave, meaning they have the same maximum positive displacement and are at the same stage of their oscillation.

ii) The distance from AtoD\boxed{A to D}AtoD​ represents one wavelength. Explanation: This distance covers one complete cycle of the wave, from one crest to the next consecutive crest.

iii) Step 1: Identify given values. Wavelength, λ=0.8 m\lambda = 0.8\,\text{m}λ=0.8m Speed, v=20 m/sv = 20\,\text{m/s}v=20m/s

Step 2: Use the wave speed formula to calculate frequency. The relationship between speed, frequency, and wavelength is v=fλv = f \lambdav=fλ. Rearrange to solve for frequency: f=vλf = \frac{v}{\lambda}f=λv​. f=20 m/s0.8 mf = \frac{20\,m/s}{0.8\,m}f=0.8m20m/s​ f=25 Hzf = 25\,Hzf=25Hz The frequency of the wave is 25Hz\boxed{25 Hz}25Hz​.

iv) • Wave pulse: A single, non-repeating disturbance or short burst of energy that travels through a medium. • Wave train: A continuous series of periodic waves that propagates through a medium, consisting of multiple wave cycles.

8. (c) • Promoting the use of renewable energy sources: Shifting from fossil fuels to sources like solar, wind, and hydroelectric power reduces air pollution and greenhouse gas emissions. • Implementing stricter regulations on industrial emissions and waste disposal: This ensures that factories and industries release fewer pollutants into the air and water, and manage their waste responsibly.

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Solve number 5-7 na pleaseSimplify the complex fraction.for the term that describes the ratio between the amounts of muscle and fat in the body.Simplify the numerator of the fraction.Solve number 12-15Solve number 9-11
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Mathematics: V_3 = 1.2\,A x 2 — Step-by-Step Solution | ScanSolve