Electric Circuits Answers

(a) What is the maximum torque on a 150-turn square loop of wire 18.0 cm on a side that carries a 50.0-A current in a 1.60-T field? _____ N-m

(b) What is the torque when θ is 10.9°? _____ N-m

Round your answers to the nearest 1 decimal place

Find the current through a loop needed to create a maximum torque of 18 N⋅m. The loop has 132 square turns that are 18.7 cm on a side and is in a uniform 0.242-T magnetic field.

answer to 2 decimal places

Calculate the magnetic field strength needed on a 449-turn square loop 15 cm on a side to create a maximum torque of 322 N⋅m if the loop is carrying 25 A.

answer to 2 decimal places

An electron moving at 8.21 × 10³ m/s in a 6.76-T magnetic field experiences a magnetic force of 4.75×10⁻¹⁶ N. What angle does the velocity of the electron make with the magnetic field?

answer to 2 decimal places

A cosmic ray proton moving toward the Earth at 6.9 × 10⁷ m/s experiences a magnetic force of 1.3 × 10⁻¹⁶ N. What is the strength of the magnetic field (in uT) if there is a 42° angle between it and the proton’s velocity?

answer to 2 decimal places

A wire carrying a 25-A current passes between the poles of a strong magnet that is perpendicular to its field and experiences a 5.96-N force on the 3.86 cm of wire in the field. What is the average field strength?

An oxygen-16 ion with a mass of 2.66 × 10⁻²⁶ kg travels at 7.33 × 10⁶ m/s perpendicular to a 7.23 – T magnetic field, which makes it move in a circular arc with a 0.652-m radius. What positive charge (in x10^-19) is on the ion? 

answer to 2 decimal places

A velocity (2.67 × 10⁶ m/s) selector in a mass spectrometer uses a 0.246-T magnetic field. What is the voltage between the plates if they are separated by 3.8 cm?

Your car’s 59-W headlight and 25-kW starter are ordinarily connected in parallel in a 16-V system. What power would one headlight and the starter consume if connected in series to a 16-V battery? (Neglect any other resistance in the circuit and any change in resistance in the two devices.)

answer to 2 decimal places.

A car battery with a 12-V emf and an internal resistance of 0.050Ω is being charged with a current of 60 A. Note that in this process, the battery is being charged.

(a) What is the potential difference across its terminals? _____ V

(b) At what rate is thermal energy being dissipated in the battery? _____ W

(c) At what rate is electric energy being converted into chemical energy? _____ W