Question

In the figure below, what is the potential difference $V_d - V_c$ between points $d$ and $c$ if $\mathscr{E}_1 = 6.0$ V, $\mathscr{E}_2 = 2.0$ V, $R_1 = R_2 = 12 \Omega$, and $R_3 = 5.9 \Omega$, and the batteries are ideal? $\mathscr{E}_1$ a $\mathscr{E}_2$ b c $i_1$ $R_1$ $i_3$ $R_3$ $R_2$ $i_2$ d Number Units

Name: in the figure below what is the potential difference vd vc between points d and c if mathscre1 60 v mathscre2 20 v r1 r2 12 omega and r3 59 omega and the batteries are ideal mathscre 73494
Uploaded: 2024-11-09T04:01:15-08:00
Duration: 5 min 10 s
Channel: Supratim Pal
Description: in the figure below what is the potential difference vd vc between points d and c if mathscre1 60 v mathscre2 20 v r1 r2 12 omega and r3 59 omega and the batteries are ideal mathscre 73494

          In the figure below, what is the potential difference $V_d - V_c$ between points $d$ and $c$ if $\mathscr{E}_1 = 6.0$ V, $\mathscr{E}_2 = 2.0$ V, $R_1 = R_2 = 12 \Omega$, and $R_3 = 5.9 \Omega$, and the batteries are ideal?
$\mathscr{E}_1$
a
$\mathscr{E}_2$
b
c
$i_1$
$R_1$
$i_3$
$R_3$
$R_2$
$i_2$
d
Number
Units

in the figure below what is the potential difference vd vc between points d and c if mathscre1 60 v mathscre2 20 v r1 r2 12 omega and r3 59 omega and the batteries are ideal mathscre 73494

Added by Holly T.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Supratim Pal

11/09/2024

Step 1

We can express this as $V_d - V_c = -V_{cd}$. We can find $V_{cd}$ by considering the loop containing $\mathscr{E}_2$ and $R_2$. $V_{cd} = \mathscr{E}_2 - i_2 R_2$. So, $V_d - V_c = -(\mathscr{E}_2 - i_2 R_2) = i_2 R_2 - \mathscr{E}_2$. Show more…

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In the figure below, what is the potential difference $V_d - V_c$ between points $d$ and $c$ if $\mathscr{E}_1 = 6.0$ V, $\mathscr{E}_2 = 2.0$ V, $R_1 = R_2 = 12 \Omega$, and $R_3 = 5.9 \Omega$, and the batteries are ideal? $\mathscr{E}_1$ a $\mathscr{E}_2$ b c $i_1$ $R_1$ $i_3$ $R_3$ $R_2$ $i_2$ d Number Units