A space station uses an advanced laser system that emits red light with a power output as high as 7 W to deflect space debris from its path. The diameter of this laser beam measures 4mm. If we consider an instance where it aims at deflecting an object weighing around 80kg, it happens to be located 20m away from its center. (a) What would be the 'radiation-pressure' force exerted on this object if we assume it perfectly reflects all incident light? (b) Can you calculate how much gravitational pull this space station, which weighs nearly 300,000 kilograms, exerts on this object? (c) Which of these two forces exerts more influence over the other?

You are provided with a graph of the potential difference against time below for a 15 mH inductor.If the current at t = 0 ms is 0.80 A, calculate the current when t = 8 ms.

A square loop of wire with a side length of 10 cm is kept in a 1.2-T magnetic field. Determine (i) the magnetic flux through the loop if the plane of the loop is perpendicular to the field lines, (ii) the angle θ in the equation for the flux, Φ = B⋅A⋅cos(θ), if the loop is at an angle of 45° with the field lines as shown in the figure below (iii) the magnetic flux through the loop at this position of the loop.

The square loop, with a resistance of 0.050 Ω, depicted in the figure below is moving at a speed of 5.0 m/s relative to a long, straight wire. Determine the induced current in the loop at this particular moment.

A 0.75-cm-radius copper loop with a resistance of 0.75 Ω is positioned inside a 1.25-cm-radius solenoid that is 100.0 cm long and consists of 800 turns. The solenoid carries a current that changes with time as shown in the graph. In this system, a positive current flows clockwise. Find the current in the copper loop at t=15.0 ms.

A laptop charger needs to convert 230 V from a wall outlet to 9.0 V to charge the laptop battery safely. If the charger is rated at 20 W (i) determine the current in the primary coil of the charger's transformer (ii) calculate the resistance of the charging element.

Single-phase electricity at 240 V and 50Hz is sometimes transmitted via concentric cables. The conductor of diameter d₁ passes at the center of the cable and acts as the live wire, while the concentric neutral of diameter d₂ surrounds the live conductor. Red PVC separates the two conducting materials, and black PVC is used as the jacket as shown in the simple image below. Calculate the inductance of a 1 m long wire when d₁ = 5.10 mm and d₂ = 10.5 mm.

A solenoid is marked 650 turns. The mean flux per turn is found to be 6.80 × 10^-4 Wb when a current of 3.20 A flows through the solenoid. If a self-induced emf of 0.0800 V is desired, determine the magnitude of the current change rate (di/dt) through the solenoid.

An electronics technician is fine-tuning a circuit in a radio receiver, which contains a 250 mH inductor and a 2000 pF capacitor. Determine the amount of resistance that must be added to adjust the resonant frequency by 0.30%. Will this adjustment cause the frequency to increase or decrease?

Derive an expression for the frequency at which an inductor in a series RLC circuit will experience the greatest potential difference.

What is the rms value of the current for a circuit described by the equation 𝐼=2.20sin(350𝑡), where 𝐼 is in amperes and t is in seconds?

Rob's Aunt in Canada gave him a 660-W Blu-ray player as a gift. Currently, he resides in Singapore where the electrical outlets output 240 V. The Blu-ray, on the other hand, operates on 120V. Find a way so he can use the Blu-ray player in Singapore at Canada's standard 120V.

The emf phasor shown below illustrates the voltage of an AC source. At 4.5 ms, the phasor is in its third rotation. Using the information provided in the figure, calculate the peak voltage of the source.

In a speaker protection circuit, an RC high-pass filter is used to protect the speakers. If the crossover frequency of this filter is 2.5 kHz and the resistor has a value of 250 Ω, determine the capacitance of the capacitor.

An alternating current source that delivers a peak voltage of 6.0 V is connected to a 25 nF capacitor. Determine the value of the instantaneous voltage across the capacitor at which the current flowing through the capacitor reaches its maximum value.

A signal generator with an output impedance of 75 Ω needs to be connected using a transformer to a recording device with an input impedance of 300 Ω. Determine the turns ratio to be used to achieve impedance matching.

A homeowner has a series RLC circuit in her home's electrical system. The circuit includes an 80 Ω resistor, a 0.15 H inductor found in a ceiling fan, and a 45 μF capacitor incorporated into the lighting system. The home's electrical supply provides 240 V at a frequency of 50 Hz. Determine the phase angle ϕ.

An LRC circuit in a radio receiver consists of L, R, and C in series, driven by an AC source at varying frequencies. At resonance, max power is dissipated. Find an approximate formula for the width of the resonance peak, Δf, which is the difference between the two frequencies where the power is half of its max value. Hint: Use the relationship at half max power:

1/2 P_max = V₀²R / [2(R² + (ωL - 1/ωC)²)]. For a sharp peak, assume R²C² ≪ 4LC.

A series RLC circuit is driven by an ac generator with a peak voltage of 30.0 V and an angular frequency of 314 rad/s. The resistance is 120.0 Ω, the capacitance is 3.60 μF, and the inductance is 650.0 mH. Determine cos Φ for this circuit.