1. A Cl- ion, travelling at a velocity of 9.50x104 m/s to the right as seen by an observer, enters a region that has an electric field of magnitude 2.50 x102 V/m pointed towards the observer. Ignore gravity for this question. (a) What is the direction and magnitude of the perpendicular magnetic field which would cancel out the effect of the electric field so that the ion passes through undeflected? (b) If the electric field is turned off and only the magnetic field is on, how much is the ion deflected as it travels 0.200 m to the right?2. Consider a mass spectrometer where all the incoming ions are moving at a speed of 300.0 m/s and the magnetic field is 0.700 T, perpendicular to the direction of motion. Ignore gravity for this question (a) Find the radius that a water ion, H20+, will have in the spectrometer (b) Find the radius that a methane ion, CH4*, will have in the spectrometer (c) How do we know whether you would be able to tell the two ions apart in this spectrometer? (Hint: the 50.0 m/s cannot practically be an exact value and has some uncertainty)3. Consider a long straight wire that carries a current of I1: 275 mA upward. (a) What is the magnitude and direction of the magnetic field generated by the wire a distance of 3.50 mm to the left of the wire? (in) Now consider that another long straight wire is placed in parallel with the rst one, at the location considered in a, 3.50 mm to the left of the first wire. This new wire has a current of |2= 475.0 mA downward. What is the magnitude and direction of force per length of wire from the rst wire on the second? (c) Generalize your ndings from b to make a statement about in which cases wires carrying current are attracted to, or repelled from, one another 4. Consider an air-core solenoid with a circular cross-section, diameter 8.00 mm and length 7.00 cm, and exactly 730 windings. If a current of 6.75 mA is sent through the solenoid (a) If the current is going through the coils clockwise as seen from above the coils, sketch the magnetic field that is generated (b) Determine the magnitude of the average magnetic field inside the solenoid (c) Determine the inductance of the solenoid