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Midterm2_key - l The electromotive force sources(emf and...

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Unformatted text preview: l. The electromotive force sources (emf) and resistances in the circuit below have the following values: 81 = 4.4 V, 32 = 2.1 V, r}: 2.3 Q, r2= 1.8 Q, R = 5.5 9. r1 and r2 are the internal resistances of batteries 1 and 2. Calculate: (a) the current in the circuit. (8 points) (b) the potential difference between the terminals of battery 1. ( 6 points) (0) power dissipated by all resistors in the circuit. (6 points) (co ewe? -1: WER‘WZO 4 QMVPZlev—i (bfl—Qyzgil +§JSJL> :0 2‘ 1 0029’ (20:10.2er (b) M : aw he) “1’3053 w J 2. (a) Find the magnitude and the direction of the curr nt in each of the three branches of the circuit below. (15 points) (gem (b) Find the equivalent resistance of the circuit. (15 paints) 81 = 3 V, 82 = 6 V, R1 = 2 £2, R2= 4 S2. The three batteries are ideal. t?) ‘4 (L M Q {Q} (EM M i a l :3)... (101:; wqttz'réi‘g (23 [C3 ~—‘($,«~V§l\_’z:©} [23 q)“- (fiiw— V :2: Q (fl (’3) 7:42, 7-91} +812 2 O ._. Qiiqizfiqggfifiich WW 4-» V2) 4~Q$2 ~L(1,:C ....‘ :2. I; r: 3. ELM ,., g +3! 123:2, o 5 :3; ‘14:? A} WM r¥€0ufi Q~V1\~QI1:Q :5 3:} : Afi— “(msgfl :[OégA2 ,q ‘ W Li " (“l3 :3: 11_ E) : xi”%S(~\-—O\SA : mlh’ZSA} (a) 11: If (393A I3= (b)Req= {33¢ 3. Two resistors (R1 = 5 M9, R2 = 15 M9) are connected in series with a capacitor with capacitance C = 2 “F and a battery with emf = 14 V. Before the switch is closed at time t = 0, the capacitor is uncharged. (25:1901'ms) (a) What is the time constant of this circuit? (b) What fraction of the final charge is on the plates of the capacitor at t = 30 s? 63 120%: a it R1 2 20 MIL Z: (2C) (b3 i:(4pé£/RC a5 )1 s~€:’c{§‘3 015R)? C? “0 me 2409 (b) eta/33E : 053 ] 4. The magnetic field B in a certain region is 0.2 T and its direction is that of the +2 axis in the figure below. The sides of the cube are 1.5 m long. (13 palm (a) What is the magnetic flux across the surface abcd? y (b) What is the magnetic flux across bedf? (c) What is the net flux through all six surfaces? $13 : Bio/AHMM M.) g mng [(81) (b) (C) ...
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