Momentum and Speed of Proton - General Physics - Past Paper, Exams of Physics

Download Momentum and Speed of Proton - General Physics - Past Paper and more Exams Physics in PDF only on Docsity! UNIVERSITY OF GAZIANTEP DEPARTMENT OF ENGINEERING PHYSICS EP 106 General Physics II Second Midterm Exam Questions 2003 TIME 110 min. SUMMER SCHOOL [1]. (a) Prove that the voltage across a capacitor during a charging phase (position 1) in an RC circuit (in above figure) is given by the relation VC(t)=V0 (1-exp(-t/RC)) (b) Find the mathematical expression of the voltage and current for the capacitor in above figure and then determine Vc and ic at 100 ms. [2]. An automobile battery has a potential difference of 12.0 V and sends current through a circuit of total resistance 1.5 Ω that contains a copper wire 1. 0 m long with an 0.3 cm2 cross- sectional area. Find: (a) the current through the wire, (b) the energy lost to heat in the circuit in one hour and (c) the distance travelled by an electron in the circuit in one hour. (MCu=63.5 g/mole, NA=6.02x1023 mole-1, ρ=8.91x103 kg/m3) [3]. A proton is moving in a positive x-direction as it enters a region of uniform magnetic field of B= 0.4 Tesla directed vertically down as shown in Figure. The proton starts to follow a circular path of a radius 10 cm in this magnetic field. (a) Draw path of the proton in this uniform magnetic field. (b) Determine the momentum and speed of the proton. (c) If the proton is initially accelerated under the potential difference 12 kV into the same magnetic field, what will be radius of the path of the proton. (mp=1.67x10-27 kg, e=1.6x10-19 C) [4]. Two long and thin straight wires carry currents at opposite direction as shown in figure. Find the magnitude of magnetic field and directions at the points P1 and P2 using Amper’s law. 5 k V0=10 V S 5 µF 1 10 k 10 R V0 S C 1 2 B + e v X P2 a/4 a=10 cm a/2 P1 i1=2 A i2=3 A