Use the following constants if necessary.
Coulomb constant, k = 8.987 \times 10^9 \text{ Nm}^2/\text{C}^2Vacuum permitivity, \epsilon_0 = 8.854 \times 10^{-12} \text{F/m}Magnetic Permeability of
vacuum, \mu_0 = 12.566370614356 \times 10^{-7} \text{H/m}. Magnitude of the Charge of one electron, e = -1.60217662 \times 10^{-19} \text{C}
Mass of one electron, m_e = 9.10938356 \times 10^{-31} \text{kg}. Unless specified otherwise, each symbol carries their usual meaning. For
example, \mu\text{C means micro coulomb.}
Suppose you have the following circuit diagram. Here $R_1 = 1.1 \text{k}\Omega$, $R_2 = 3.3 \text{k}\Omega$, $R_3 = 2.2 \text{k}\Omega$, $R_4 = 22 \text{k}\Omega$, $R_5 = 22 \text{k}\Omega$,
$R_6 = 11 \text{k}\Omega$, $R_7 = 11 \text{k}\Omega$, $R_8 = 11 \text{k}\Omega$, $R_9 = 1.1 \text{k}\Omega$are the resistances on the circuit where k$\Omega$ stands for kilo ohm. The
electromotive forces of the batteries are $\mathcal{E}_1 = 5 \text{ volts}$ and $\mathcal{E}_2 = 3 \text{ volts}$
a) Calculate $R_{bk}$, the resistance equivalent to $R_5$, $R_6$, $R_7$, $R_8$ and $R_9$ between the terminals b and k
Value of $R_{bk}$
Give your answer to at least two significance digits.
$\Omega$
b) Calculate the current through $R_1$.
current through $R_1$
Give your answer to at least two significance digits.
A
c) Calculate the current through $R_{bk}$ and call it $I_{bk}$.
Value of $I_{bk}$
Give your answer to at least two significance digits.
A
d) Calculate the power dissipated through the $R_2$ resistor
power dissipated through the $R_2$ resistor
Give your answer to at least two significance digits
$\text{j/s}$
e) Calculate the potential difference across the oc terminal.
potential difference across the oc terminal
Give your answer to at least two significance digits.
A
