Two batteries and a resistor, R = 1.2 Ω, are connected in series between points M and B. The positive terminal of ε1 is connected to point M while the positive terminal of ε2 is connected to point B and to their other terminals are connected the resistor, R. The emfs and internal resistances of the two batteries are : ε1 = 9 v, r1 = 0.2 Ω, and ε2 = 3 v, r2 = 0.1 Ω . A third battery with emf, ε3 = 12v and r3 = 0.5 Ω is connected across them with its positive terminal connected to point M

Principles of Physics: A Calculus-Based Text
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Chapter21: Current And Direct Current Circuits
Section: Chapter Questions
Problem 1OQ: If the terminals of a battery with zero internal resistance are connected across two identical...
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Two batteries and a resistor, R = 1.2 Ω, are connected in series between points M and B. The positive terminal of ε1 is
connected to point M while the positive terminal of ε2 is connected to point B and to their other terminals are connected
the resistor, R. The emfs and internal resistances of the two batteries are : ε1 = 9 v, r1 = 0.2 Ω, and ε2 = 3 v, r2 = 0.1 Ω .
A third battery with emf, ε3 = 12v and r3 = 0.5 Ω is connected across them with its positive terminal connected to point M
and the negative terminal connected to point B . Determine:
a. the total current in the circuit
b. the terminal voltage of each battery
c. the potential difference, VMB

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