Question

1. (a) Define resistivity and state Ohm's law. 1 (b) Using the Kirchhoff's loop rule derive the expressions for equivalent resistances for three resistors connect in parallel with an emf source. 2 (c) In Fig. 1(c) below, $\mathcal{E} = 12$ V, $R_1 = 2$ k$\Omega$, $R_2 = 3$ k$\Omega$, and $R_3 = 4$ k$\Omega$. What are the potential differences (a) $V_A - V_B$, (b) $V_B - V_C$, (c) $V_C - V_D$, and (d) $V_A - V_C$? 2 $R_2$ $\mathcal{E}$ $C$ $R_1$ A $R_1$ $R_3$ $R_2$ D Fig. 1(c) B

          1. (a) Define resistivity and state Ohm's law.
1
(b) Using the Kirchhoff's loop rule derive the expressions for equivalent resistances for three resistors
connect in parallel with an emf source.
2
(c) In Fig. 1(c) below, $\mathcal{E} = 12$ V, $R_1 = 2$ k$\Omega$, $R_2 = 3$ k$\Omega$, and $R_3 = 4$ k$\Omega$. What are the potential differences
(a) $V_A - V_B$, (b) $V_B - V_C$, (c) $V_C - V_D$, and (d) $V_A - V_C$? 
2
$R_2$
$\mathcal{E}$
$C$
$R_1$
A
$R_1$
$R_3$
$R_2$
D
Fig. 1(c)
B

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1. (a) Define resistivity and state Ohm's law.
1
(b) Using the Kirchhoff's loop rule derive the expressions for equivalent resistances for three resistors
connect in parallel with an emf source.
2
(c) In Fig. 1(c) below, ℰ = 12 V, R1 = 2 kΩ, R2 = 3 kΩ, and R3 = 4 kΩ. What are the potential differences
(a) VA - VB, (b) VB - VC, (c) VC - VD, and (d) VA - VC?
2
R2
ℰ
C
R1
A
R1
R3
R2
D
Fig. 1(c)
B

Added by Mary H.

University Physics with Modern Physics

Hugh D. Young 14th Edition

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Solved by Expert Mkhitar Hobosyan

Step 1

It is denoted by the symbol ρ and is measured in ohm-meters (Ω·m). Resistivity depends on the material's intrinsic properties, such as its composition and temperature. Ohm's law states that the current flowing through a conductor is directly proportional to the Show more…

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(a) Define resistivity and state Ohm's law. Using the Kirchhoff's loop rule, derive the expressions for equivalent resistances for three resistors connected in parallel with an emf source. (c) In Fig: I(c) below, V = 12 V, R1 = 2 kÎ©, R2 = 3 kÎ©, and R3 = 4 kÎ©. What are the potential differences (a) Va - Vx, (b) Vg - Vc, (c) Vc - Vd, and (d) V4 - Vc? Fig: I(c)

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