# Worksheet: Alternating Current Circuits

n this worksheet, we will practice determining the values of electrical quantities in circuits powered by alternating voltages.

**Q1: **

An alternating current has a peak value of 1.35 A. What is the root-mean-square value of the current?

**Q2: **

An ac generator has a frequency of 50 Hz. The coil of the generator is initially parallel to the generator’s magnetic field and its loops are coplanar. At what time after the coil starts rotating is the instantaneous potential difference across the coil equal to the root-mean-square potential difference produced by the generator?

**Q3: **

An alternating current generator contains 25 rectangular loops of conducting wire with side lengths of 45 cm and 35 cm, the ends of which form terminals. The sides of the loops with the same lengths as each other are parallel to each other. The loops rotate within a uniform magnetic field at 22 revolutions per second. The peak potential difference across the terminals is 105 V. What is the strength of the magnetic field?

**Q4: **

An alternating current generator contains 10 rectangular loops of conducting wire with side lengths of 25 cm and 23 cm, the ends of which form terminals. The sides of the loops with the same lengths as each other are parallel to each other. The loops rotate within a 560 mT uniform magnetic field. The peak potential difference across the terminals is 85 V. How many revolutions per second do the loops turn through?

**Q5: **

An alternating current has a peak value of 1.75 A through a 148 Ω resistor. What is the energy dissipated by the current in a time of 365 s?

**Q6: **

An alternating current generator contains 5 rectangular loops of conducting wire with side lengths 15 cm and 25 cm, the ends of which form terminals. The sides of the loops with the same lengths as each other are parallel to each other. The loops rotate at 15 revolutions per second within a 620 mT uniform magnetic field. What is the peak potential difference across the terminals?

**Q7: **

An alternating current generator contains 50 rectangular loops of conducting wire with side lengths of 55 cm and 35 cm, the ends of which form terminals. The sides of the loops with the same lengths as each other are parallel to each other. The loops rotate within a uniform magnetic field at 18 revolutions per second within a 360 mT uniform magnetic field. What is the root-mean-square voltage across the terminals?