Question

In a homogeneous cold electron/proton plasma, the electron number density is 2 5cm-3. A uniform magnetic field 3nT exists in the plasma. a) Calculate the Alfv án speed, the proton and electron gyro-frequencies [5]

Answer 1

The units of $\omega$ is hertz.

VALEVEN : B mi = NUMBER DENSITY OF SPECICI i mi = MASS OF SPECIES V Moni mi (192100 –Jdka »99710o) =< ~ ix (99710'0- )dxa 99710 GYRO FREQUENCY CW) - e B . Mo=4HX10-7 1 foq, е heleCTRON MOLEVEN = 3x10-9 V 401x 10-7x5x10-6 m-3 x 9.1x10-31 kg = 3x10-9 x I Thorng. V 10-31x1012 = 3x10-9 x V 10** Tanx91 = 0.39x10-9 x 102' xVio = 1-25 x 101 mis_

Were B = 16 3 x 1031 - 4.8 x 1031 C am 1010 109 x ax 9.1 18.2 1028 We = 263.7 'PROTON - B - $ = @ me ✓ Monime m Vmp ruonime me x 1.25*10² m/s mp = I x1.25 x 10' mlo = 0.029 x 1012min 40 The = R9x109 Molo sepse e compone changed the Me lep = 0-14 mo 1840