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Find the change in entropy when 1.25 kg of steam at 100°C condenses and cools to 50°C.
A cannon shell is fired straight up from the ground at an initial speed of 225 m/s. After how much time is the shell at a height of 6.20 × 102 m above the ground and moving downward?
For dominant mode propagation in TE mode, if the rectangular
waveguide has a broader dimension of 31.14 mm , then the cutoff
wave number:
1. Three 7.20 resistors are connected in series. Illustrate a schematic diagram for the case. What is their equivalent resistance? Show your complete solution.
1. You connect a number of identical light bulbs to a flashlight battery. (a) What happens to the brightness of each bulb as more and more bulbs are added to the circuit if you connect them (i) in series and (ii) in parallel? (b) Will the battery last longer if the bulbs are in series or in parallel? Explain your reasoning.
1. A Cylindrical capacitor having a length of 8 cm is made of two concentric rings with an inner radius as 3 cm and outer radius as 6 cm. Find the capacitance of the capacitor.
2. A parallel-plate capacitor is filled with polystyrene of 0.0002 m thickness. Find the plate area if the new capacitance after the insertion is 3.4 µF.
Show your solution.
1. When a 12.0-V car battery powers a single 30.0 W headlight, how many electrons pass through it each second?
2. Two electrons are 10^5 m apart. One electron is fixed on its position. The other, originally at rest, is released. How fast is the free electron moving when it is 10^ −3 m from the fixed charge? Apply conservation of energy.
3. Two point charges, +400 uC and -2.00 uC are 0.55m apart. (a) what is the potential energy of the pair? (b) If the positive charge is fixed and the other is released from rest, how far from each other should the charges be if the negative charge is moving with a speed of 2.30 x 10^2 m/s? Let the mass of the moving charge be 8.00 x 10^−6 kg.
1. A proton (charge +𝑒=1.602 𝑥 10^−19 𝐶) moves a distance d = 0.30 m in a straight line between points a and b in a linear accelerator. The electric field is uniform along this line, with magnitude 𝐸= 2.1 𝑥 10^7 𝑁/𝐶 in the direction from a to b. Determine: (a) the force on the proton; (b) the work done on it by the field; (c) the potential difference
2. What is the potential difference between two point in an electric field if it takes 500J of energy to move a charge of 2.5C between these two points?
Show your solution.
1. Two charges of 𝑞1=+ 12.0 𝑛𝐶 and 𝑞2=− 12.0 𝑛𝐶 are 0.100 m apart (such pairs of point charges with equal magnitude and opposite sign are called electric dipoles.). Calculate the electric field caused by 𝑞1.
2. Two charges of 𝑞1=+ 3.0 𝑛𝐶 and 𝑞2=− 7.0 𝑛𝐶 are separated by a distance of 50 cm. What is the electric field strength at a point that is 20cm from 𝑞1 and 30cm from 𝑞2? The point lies between 𝑞1 and 𝑞2.
Show your Solution.
1. Two charges, of 𝑞1=+ 3.50 𝑝𝐶 and 𝑞2=− 4.50 𝑝𝐶 are 0.400 m apart. Where along the line joining them will net electric field be zero? Note: 𝐸⃗ 𝑛𝑒𝑡= 0 and 𝐸⃗ 1 and 𝐸⃗ 2 are opposite.
2. Four point charges are positioned as such: A(0,1), B(2,1), C(0,0), D(2,0). Charge A = -3 microcoulombs, Charge B = 3 microcoulombs, C = 2 microcoulombs, and D = -2 microcoulombs. What is the net electric field experienced at the origin.
