A battery of $e.m.f.$ $10\, V$ is connected to resistance as shown in figure. The potential difference ${V_A} - {V_B}$ between the points $A$ and $B$ is .................... $V$
Diffcult
Download our app for free and get started
(b) ${R_{eq}} = 5\,\Omega $, Current $i = \frac{{10}}{5} = 2\,A$ and current in each branch = $1\,A$
Potential difference between $C$ and $A$,
${V_C} - {V_A} = 1 \times 1 = 1\,V$ .......$(i)$
Potential difference between $C$ and $B$,
${V_C} - {V_B} = 1 \times 3 = 3\,V$......$(ii)$
On solving $(i)$ and $(ii)$ ${V_A} - {V_B} = 2\,volt$
Shot Trick : $({V_A} - {V_B}) = \frac{i}{2}({R_2} - {R_1}) = \frac{2}{2}(3 - 1) = 2\,V$
Potential difference between $C$ and $A$,
${V_C} - {V_A} = 1 \times 1 = 1\,V$ .......$(i)$
Potential difference between $C$ and $B$,
${V_C} - {V_B} = 1 \times 3 = 3\,V$......$(ii)$
On solving $(i)$ and $(ii)$ ${V_A} - {V_B} = 2\,volt$
Shot Trick : $({V_A} - {V_B}) = \frac{i}{2}({R_2} - {R_1}) = \frac{2}{2}(3 - 1) = 2\,V$
Download our appand get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Similar Questions
- 1For the network shown below, the value $V _{ B }- V _{ A }$ is_______ $V$View Solution
- 2A cell, shunted by a $8 \; \Omega$ resistance, is balanced across a potentiometer wire of length $3 \; m$. The balancing length is $2 \; m$ when the cell is shunted by $4 \; \Omega$ resistance. The value of internal resistance of the cell will be $\dots \; \Omega .$View Solution
- 3$32$ cells, each of $emf$ $3V$, are connected in series and kept in a box. Externally, the combination shows an $emf$ of $84\, V$. The number of cells reversed in the combination isView Solution
- 4The figure shows a network of four resistances and three batteries The electrical power dissipated as heat is .............. $W$View Solution
- 5View SolutionAssertion : The electric bulbs glows immediately when switch is on.
Reason : The drift velocity of electrons in a metallic wire is very high.
- 6A cell of constant $e.m.f.$ first connected to a resistance ${R_1}$ and then connected to a resistance ${R_2}$. If power delivered in both cases is then the internal resistance of the cell isView Solution
- 7A cell of $e.m.f.$ $1.5\,V$ having a finite internal resistance is connected to a load resistance of $2\,\Omega $. For maximum power transfer the internal resistance of the cell should be ............. $ohm$View Solution
- 8The circuit diagram shown consists of a large number of element (each element has two resistors $R_1$ and $R_2$). The resistance of the resistors in each subsequent element differs by $a$ factor of $K = 1/2$ from the resistance of the resistors in the previous elements. The equivalent reistance between $A$ and $B$ shown in figure is :View Solution
- 9A cylindrical conductor has uniform cross-section. Resistivity of its material increase linearly from left end to right end. If a constant current is flowing through it and at a section distance $x$ from left end, magnitude of electric field intensity is $E$, which of the following graphs is correctView Solution
- 10A platinum resistance thermometer has a resistance of $50\,\Omega $ at $20\,^o C$. When dipped in a liquid the resistance becomes $76.8\,\Omega $. The temperature coefficient of resistance for platinum is $\alpha = 3.92 \times {10^{ - 3}}\,^o C$. The temperature of the liquid is .............. $^o C$View Solution