1
GATE EE 2025
MCQ (Single Correct Answer)
+1
-0.33

Which one of the following figures represents the radial electric field distribution $E_R$ caused by a spherical cloud of electrons with a volume charge density. $\rho=-3 \rho_0$ for $0 \leq R \leq a$ (both $\rho_0, a$ are positive and $R$ is the radial distance) and $\rho=0$ for $R>a$ ?

A
Fig. (i) GATE EE 2025 Electromagnetic Fields - Electrostatics Question 2 English Option 1
B
Fig. (ii) GATE EE 2025 Electromagnetic Fields - Electrostatics Question 2 English Option 2
C
Fig. (iii) GATE EE 2025 Electromagnetic Fields - Electrostatics Question 2 English Option 3
D
Fig. (iv) GATE EE 2025 Electromagnetic Fields - Electrostatics Question 2 English Option 4
2
GATE EE 2025
MCQ (Single Correct Answer)
+2
-0.67

An air filled cylindrical capacitor (capacitance $C_0$ ) of length $L$, with $a$ and $b$ as its inner and outer radii, respectively, consists of two coaxial conducting surfaces. Its crosssectional view is shown in Figure (i). In order to increase the capacitance, a dielectric material of relative permittivity $\varepsilon_r$ is inserted inside $50 \%$ of the annular region as shown in figure (ii). The value of $\varepsilon_r$ for which the capacitance of the capacitor in figure (ii), becomes $5 C_0$ is

GATE EE 2025 Electromagnetic Fields - Electrostatics Question 1 English
A
4
B
5
C
9
D
10
3
GATE EE 2025
MCQ (Single Correct Answer)
+1
-0.33

The relationship between two variables $x$ and $y$ is given by $x+p y+q=0$ and is shown in the figure. Find the values of $p$ and $q$.

Note: The figure shown is representative.

GATE EE 2025 Engineering Mathematics - Linear Algebra Question 1 English
A
$p=-\frac{1}{2} ; q=2$
B
$p=2 ; q=-2$
C
$p=\frac{1}{2} ; q=4$
D
$p=2 ; q=4$
4
GATE EE 2025
MCQ (Single Correct Answer)
+1
-0.33

Consider the set $S$ of points $(x, y) \in R^2$ which minimize the real valued function

$$ f(x, y)=(x+y-1)^2+(x+y)^2 $$

Which of the following statements is true about the set $S$ ?

A
The number of elements in the set $S$ is finite and more than one.
B
The numebr of elements in the set $S$ is infinite.
C
The set $S$ is empty.
D
The number of elements in the set $S$ is exactly one.
EXAM MAP