Find the magnitude and direction of the current flowing through the resistance $$R$$ in the circuit shown in Fig. if the emf's of the sources are equal to $$\varepsilon_{1} = 1.5\ V$$ and $$\varepsilon_{2} = 3.7\ V$$ and the resistances are equal to $$R_{1} = 10\Omega, R_{2} = 20\Omega, R = 5.0\Omega$$. The internal resistances of the sources are negligible.
Make the current distribution, as shown in the diagram.
Now, in the loop $$12341$$, applying $$-\triangle \varphi = 0$$
$$iR + i_{1}R_{1} + \xi_{1} = 0 (1)$$
and in the loop $$23562$$
$$iR - \xi_{2} + (i - i_{1})R_{2} = 0 (2)$$
Solving (1) and (2), we obtain current through the resistance $$R$$,
$$i = \dfrac {(\xi_{2}R_{1} - \xi_{1}R_{2})}{RR_{1} + RR_{2} + R_{1}R_{2}} = 0.02\ A$$
and it is directed from left to the right.
A d.c. main supply of e.m.f. 220 V is connected across a storage battery of e.m.f 200 V through a resistance of $$1\Omega.$$ The battery terminals are connected to an external resistance 'R'. The minimum value of 'R', so that a current passes through the battery to charge it is :
In the given circuit diagram, the currents, $$I_1 = -0.3 A, I_4 = 0.8 A$$ and $$I_5 = 0.4 A$$ are flowing as shown. The currents $$I_2I_3$$ and $$I_6$$ respectively, are:
An inductor of $$2H$$ and a resistance of $$10\Omega$$ are connected in series with a battery of $$5V$$. The initial rate of change of current is
A circuit contains an ammeter, a battery of $$30\ V$$ and a resistance $$40.8$$ ohm all connected in series. If the ammeter has a coil of resistance $$480$$ ohm and as shunt of $$20$$ ohm, the reading in the ammeter will be:
Calculate I for the given circuit diagram.
In the arrangement shown in figure, the current through $$5\Omega$$ resistor is?
Calculate the current through the circuit and the potential difference across the diode shown in figure. The drift current for the diode is $$20 \mu A . $$
A circuit shown in Fig. has resistances $$R_{1} = 20\Omega$$ and $$R_{2} = 30\Omega$$. At what value of resistance $$R_{x}$$ will the thermal power generated in it be practically independent of small variations of that resistance? The voltage between the points $$A$$ and $$B$$ is supposed to be constant in this case.
Find the current flowing through the resistance $$R$$ in the circuit shown in Fig. The internal resistances of the batteries are negligible.
In a circuit shown in Fig. resistances $$R_{1}$$ and $$R_{2}$$ are known, as well as emf's $$\varepsilon_{1}$$ and $$\varepsilon_{2}$$. The internal resistances of the sources are negligible. At what value of the resistance $$R$$ will the thermal power generated in it be the highest? What is it equal to?